To add (2m-3)+(3n-1)+(3m+1), we combine the like terms.
First, let's add the terms with m:
2m + 3m = 5m
Next, let's add the terms with n:
0n = 0
Finally, let's add the constants:
-3 + -1 + 1 = -3
Combining everything together, we have:
(2m-3)+(3n-1)+(3m+1) = 5m + 0 + -3 = 5m - 3
Add: (2m-3)+(3n-1)+(3m+1)
36 answers
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Let's go through the addition step by step:
(2m - 3) + (3n - 1) + (3m + 1)
First, we add the terms with m:
2m + 3m = 5m
Next, let's add the constant terms: -3 + (-1) + 1 = -3
Lastly, we add the terms with n: 3n
Putting it all together, we have:
(2m - 3) + (3n - 1) + (3m + 1) = 5m + 3n - 3
Let's go through the addition step by step:
(2m - 3) + (3n - 1) + (3m + 1)
First, we add the terms with m:
2m + 3m = 5m
Next, let's add the constant terms: -3 + (-1) + 1 = -3
Lastly, we add the terms with n: 3n
Putting it all together, we have:
(2m - 3) + (3n - 1) + (3m + 1) = 5m + 3n - 3
Subtract: 2(10b+4)-(b-2)
To solve the expression 2(10b + 4) - (b - 2), we will follow the order of operations, also called PEMDAS.
First, let's simplify the expressions inside the parentheses:
2(10b + 4) = 20b + 8
Next, distribute the negative sign to the terms inside the parentheses:
-(b - 2) = -b + 2
Now, we can rewrite the expression with the simplified forms:
2(10b + 4) - (b - 2) = 20b + 8 - (b - 2)
Now, distribute the negative sign inside the parentheses:
20b + 8 - b + 2 = 20b - b + 8 + 2
Combine like terms:
(20b - b) + (8 + 2) = 19b + 10
Therefore, the final answer is 19b + 10.
First, let's simplify the expressions inside the parentheses:
2(10b + 4) = 20b + 8
Next, distribute the negative sign to the terms inside the parentheses:
-(b - 2) = -b + 2
Now, we can rewrite the expression with the simplified forms:
2(10b + 4) - (b - 2) = 20b + 8 - (b - 2)
Now, distribute the negative sign inside the parentheses:
20b + 8 - b + 2 = 20b - b + 8 + 2
Combine like terms:
(20b - b) + (8 + 2) = 19b + 10
Therefore, the final answer is 19b + 10.
Subtract: (3g-4)-2(3g+4)
To subtract (3g - 4) - 2(3g + 4), we will follow the order of operations, also known as PEMDAS.
First, let's simplify the expression inside the parentheses:
2(3g + 4) = 6g + 8
Now, we can rewrite the original expression with the simplified form:
(3g - 4) - 2(3g + 4) = 3g - 4 - (6g + 8)
Next, distribute the negative sign to the terms inside the parentheses:
3g - 4 - 6g - 8 = 3g - 6g - 4 - 8
Combine like terms:
(3g - 6g) + (-4 - 8) = -3g - 12
Therefore, the final answer is -3g - 12.
First, let's simplify the expression inside the parentheses:
2(3g + 4) = 6g + 8
Now, we can rewrite the original expression with the simplified form:
(3g - 4) - 2(3g + 4) = 3g - 4 - (6g + 8)
Next, distribute the negative sign to the terms inside the parentheses:
3g - 4 - 6g - 8 = 3g - 6g - 4 - 8
Combine like terms:
(3g - 6g) + (-4 - 8) = -3g - 12
Therefore, the final answer is -3g - 12.
Use the properties of operations to add 9(k+1/3)+10(1/2k-1)
To add 9(k + 1/3) + 10(1/2k - 1), we can use the distributive property of multiplication over addition/subtraction. This states that a(b + c) = ab + ac.
First, let's apply the distributive property to each term:
9(k + 1/3) = 9k + 9(1/3) = 9k + 3
10(1/2k - 1) = 10(1/2k) - 10(1) = 5k - 10
Now, we can add the simplified terms together:
9k + 3 + 5k - 10
Combine like terms: 9k + 5k + 3 - 10 = 14k - 7
Therefore, the final answer is 14k - 7.
First, let's apply the distributive property to each term:
9(k + 1/3) = 9k + 9(1/3) = 9k + 3
10(1/2k - 1) = 10(1/2k) - 10(1) = 5k - 10
Now, we can add the simplified terms together:
9k + 3 + 5k - 10
Combine like terms: 9k + 5k + 3 - 10 = 14k - 7
Therefore, the final answer is 14k - 7.
Use the properties of operations to add 4 (g-2)+(g+2)
To add 4(g - 2) + (g + 2), we can use the distributive property of multiplication over addition/subtraction. This states that a(b + c) = ab + ac.
First, let's apply the distributive property to each term:
4(g - 2) = 4g - 8
(g + 2) remains unchanged.
Now, we can add the simplified terms together:
4g - 8 + g + 2
Combine like terms: 4g + g - 8 + 2 = 5g - 6
Therefore, the final answer is 5g - 6.
First, let's apply the distributive property to each term:
4(g - 2) = 4g - 8
(g + 2) remains unchanged.
Now, we can add the simplified terms together:
4g - 8 + g + 2
Combine like terms: 4g + g - 8 + 2 = 5g - 6
Therefore, the final answer is 5g - 6.
Use the properties of operations to subtract (h+k)-(2k-h)
To subtract (h + k) - (2k - h), we remove the brackets using the distributive property of subtraction. This property states that a - (b - c) = a - b + c.
First, let's remove the brackets:
(h + k) - (2k - h) = h + k - 2k + h
Next, let's combine like terms:
(h + h) + (k - 2k) = 2h - k
Therefore, the simplified form of (h + k) - (2k - h) is 2h - k.
First, let's remove the brackets:
(h + k) - (2k - h) = h + k - 2k + h
Next, let's combine like terms:
(h + h) + (k - 2k) = 2h - k
Therefore, the simplified form of (h + k) - (2k - h) is 2h - k.
Use the properties of operations to subtract (p-3)-(2.4+2p)
To subtract (p - 3) - (2.4 + 2p), we distribute the negative sign to each term inside the second set of parentheses using the distributive property of subtraction. This states that a - (b + c) = a - b - c.
First, let's distribute the negative sign inside the second set of parentheses:
(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p
Next, let's simplify further:
p - 2p - 3 - 2.4 = -p - 5.4
Therefore, the simplified form of (p - 3) - (2.4 + 2p) is -p - 5.4.
First, let's distribute the negative sign inside the second set of parentheses:
(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p
Next, let's simplify further:
p - 2p - 3 - 2.4 = -p - 5.4
Therefore, the simplified form of (p - 3) - (2.4 + 2p) is -p - 5.4.
Subtract: 2 (k-4)-3(2k-1)
To subtract 2(k - 4) - 3(2k - 1), we will follow the order of operations, also called PEMDAS.
First, let's simplify the expressions inside the parentheses:
2(k - 4) = 2k - 8
3(2k - 1) = 6k - 3
Now, we can rewrite the expression with the simplified forms:
2(k - 4) - 3(2k - 1) = 2k - 8 - (6k - 3)
Now, distribute the negative sign inside the parentheses:
2k - 8 - 6k + 3 = 2k - 6k - 8 + 3
Combine like terms:
(2k - 6k) + (-8 + 3) = -4k - 5
Therefore, the final answer is -4k - 5.
First, let's simplify the expressions inside the parentheses:
2(k - 4) = 2k - 8
3(2k - 1) = 6k - 3
Now, we can rewrite the expression with the simplified forms:
2(k - 4) - 3(2k - 1) = 2k - 8 - (6k - 3)
Now, distribute the negative sign inside the parentheses:
2k - 8 - 6k + 3 = 2k - 6k - 8 + 3
Combine like terms:
(2k - 6k) + (-8 + 3) = -4k - 5
Therefore, the final answer is -4k - 5.
Simplify 5(7x-2)-14x+4
To simplify 5(7x - 2) - 14x + 4, we will use the distributive property of multiplication over addition/subtraction.
First, apply the distributive property:
5(7x - 2) = 35x - 10
Now, rewrite the expression with the simplified form:
(35x - 10) - 14x + 4
Combine like terms:
35x - 10 - 14x + 4 = 21x - 6
Therefore, the simplified expression is 21x - 6.
First, apply the distributive property:
5(7x - 2) = 35x - 10
Now, rewrite the expression with the simplified form:
(35x - 10) - 14x + 4
Combine like terms:
35x - 10 - 14x + 4 = 21x - 6
Therefore, the simplified expression is 21x - 6.
Simplify 17d-33+9(2d+6)-11
To simplify 17d - 33 + 9(2d + 6) - 11, we will follow the order of operations, also known as PEMDAS.
First, let's simplify the expression inside the parentheses:
9(2d + 6) = 18d + 54
Now, we can rewrite the original expression with the simplified form:
17d - 33 + 18d + 54 - 11
Combine like terms:
17d + 18d - 33 + 54 - 11 = 35d + 10
Therefore, the simplified expression is 35d + 10.
First, let's simplify the expression inside the parentheses:
9(2d + 6) = 18d + 54
Now, we can rewrite the original expression with the simplified form:
17d - 33 + 18d + 54 - 11
Combine like terms:
17d + 18d - 33 + 54 - 11 = 35d + 10
Therefore, the simplified expression is 35d + 10.
Simplify 6(3q-4)+18-12q-7(4q+5)
To simplify 6(3q - 4) + 18 - 12q - 7(4q + 5), we will follow the order of operations, also known as PEMDAS.
First, let's simplify the expressions inside the parentheses:
6(3q - 4) = 18q - 24
7(4q + 5) = 28q + 35
Now, we can rewrite the original expression with the simplified forms:
18q - 24 + 18 - 12q - 28q - 35
Combine like terms:
(18q - 12q - 28q) + (-24 + 18 - 35) = -22q - 41
Therefore, the simplified expression is -22q - 41.
First, let's simplify the expressions inside the parentheses:
6(3q - 4) = 18q - 24
7(4q + 5) = 28q + 35
Now, we can rewrite the original expression with the simplified forms:
18q - 24 + 18 - 12q - 28q - 35
Combine like terms:
(18q - 12q - 28q) + (-24 + 18 - 35) = -22q - 41
Therefore, the simplified expression is -22q - 41.
Simplify -5+3/4(8h+12)-10h
To simplify -5 + 3/4(8h + 12) - 10h, we will follow the order of operations, also known as PEMDAS.
First, let's simplify the expression inside the parentheses:
3/4(8h + 12) = (3/4)(8h) + (3/4)(12) = 6h + 9
Now, we can rewrite the original expression with the simplified form:
-5 + 6h + 9 - 10h
Combine like terms:
(6h - 10h) + (-5 + 9) = -4h + 4
Therefore, the simplified expression is -4h + 4.
First, let's simplify the expression inside the parentheses:
3/4(8h + 12) = (3/4)(8h) + (3/4)(12) = 6h + 9
Now, we can rewrite the original expression with the simplified form:
-5 + 6h + 9 - 10h
Combine like terms:
(6h - 10h) + (-5 + 9) = -4h + 4
Therefore, the simplified expression is -4h + 4.
Factor 24n-32 using the GCF
To factor 24n - 32 using the greatest common factor (GCF), we first need to find the GCF of the two terms.
The GCF of 24 and 32 is 8 (since 8 is the largest number that can divide both 24 and 32 without leaving a remainder).
Now, let's factor out the GCF from both terms:
24n - 32 = 8(3n) - 8(4)
Simplifying further:
8(3n - 4)
Therefore, the factored form of 24n - 32 using the GCF is 8(3n - 4).
The GCF of 24 and 32 is 8 (since 8 is the largest number that can divide both 24 and 32 without leaving a remainder).
Now, let's factor out the GCF from both terms:
24n - 32 = 8(3n) - 8(4)
Simplifying further:
8(3n - 4)
Therefore, the factored form of 24n - 32 using the GCF is 8(3n - 4).
Which of the following answers applies the Distributive property of multiplication over Addition correctly for simplifying 23-9(2x+5)+11x
To apply the Distributive property of multiplication over Addition correctly, we need to distribute the multiplier (-9) to every term inside the parentheses.
Let's simplify the expression based on the provided options:
Option 1: 23 + (-9)(2x + 5) + 11x
Distributing -9: 23 - 18x - 45 + 11x
Option 2: 23 - 18x + (-9)(2x + 5) + 11x
Distributing -9: 23 - 18x - 10x - 45 + 11x
Option 3: 23 - 18x + 45 + (-9)(2x + 5) + 11x
Distributing -9: 23 - 18x + 45 - 18x - 45 + 11x
Option 4: This option is not provided.
Based on the above simplifications, Option 3 applies the Distributive property of multiplication over Addition correctly:
23 - 18x + 45 - 18x - 45 + 11x
Therefore, the correct option is Option 3.
Let's simplify the expression based on the provided options:
Option 1: 23 + (-9)(2x + 5) + 11x
Distributing -9: 23 - 18x - 45 + 11x
Option 2: 23 - 18x + (-9)(2x + 5) + 11x
Distributing -9: 23 - 18x - 10x - 45 + 11x
Option 3: 23 - 18x + 45 + (-9)(2x + 5) + 11x
Distributing -9: 23 - 18x + 45 - 18x - 45 + 11x
Option 4: This option is not provided.
Based on the above simplifications, Option 3 applies the Distributive property of multiplication over Addition correctly:
23 - 18x + 45 - 18x - 45 + 11x
Therefore, the correct option is Option 3.
Simplify -4(7b+3)+24b-8
To simplify -4(7b + 3) + 24b - 8, we will follow the order of operations, also known as PEMDAS.
First, let's distribute the -4 to the terms inside the parentheses:
-4(7b + 3) = -28b - 12
Now, we can rewrite the original expression with the simplified form:
-28b - 12 + 24b - 8
Combine like terms:
(-28b + 24b) + (-12 - 8) = -4b - 20
Therefore, the simplified expression is -4b - 20.
First, let's distribute the -4 to the terms inside the parentheses:
-4(7b + 3) = -28b - 12
Now, we can rewrite the original expression with the simplified form:
-28b - 12 + 24b - 8
Combine like terms:
(-28b + 24b) + (-12 - 8) = -4b - 20
Therefore, the simplified expression is -4b - 20.
Simplify 2(3v+9)-14-6(-5v-4)
To simplify 2(3v + 9) - 14 - 6(-5v - 4), we will follow the order of operations, also known as PEMDAS.
First, let's distribute the 2 to the terms inside the first set of parentheses:
2(3v + 9) = 6v + 18
Next, let's distribute the -6 to the terms inside the second set of parentheses:
-6(-5v - 4) = 30v + 24
Now, we can rewrite the original expression with the simplified forms:
6v + 18 - 14 - 30v - 24
Combine like terms:
(6v - 30v) + (18 - 14 - 24) = -24v - 20
Therefore, the simplified expression is -24v - 20.
First, let's distribute the 2 to the terms inside the first set of parentheses:
2(3v + 9) = 6v + 18
Next, let's distribute the -6 to the terms inside the second set of parentheses:
-6(-5v - 4) = 30v + 24
Now, we can rewrite the original expression with the simplified forms:
6v + 18 - 14 - 30v - 24
Combine like terms:
(6v - 30v) + (18 - 14 - 24) = -24v - 20
Therefore, the simplified expression is -24v - 20.
-15+4/5(15e-10)-10e
To simplify -15 + 4/5(15e - 10) - 10e, we will follow the order of operations, also known as PEMDAS.
First, let's simplify the expression inside the parentheses:
4/5(15e - 10) = (4/5)(15e) - (4/5)(10) = 12e - 8
Now, we can rewrite the original expression with the simplified form:
-15 + 12e - 8 - 10e
Combine like terms:
(12e - 10e) + (-15 - 8) = 2e - 23
Therefore, the simplified expression is 2e - 23.
First, let's simplify the expression inside the parentheses:
4/5(15e - 10) = (4/5)(15e) - (4/5)(10) = 12e - 8
Now, we can rewrite the original expression with the simplified form:
-15 + 12e - 8 - 10e
Combine like terms:
(12e - 10e) + (-15 - 8) = 2e - 23
Therefore, the simplified expression is 2e - 23.
Factor 48y+36z using the GCF