Simplfy 17d-33+9(2d+6)-11

Answer 1

To simplify the expression \( 17d - 33 + 9(2d + 6) - 11 \), follow these steps:

1. Distribute the \( 9 \) into the parentheses: \[ 9(2d + 6) = 9 \cdot 2d + 9 \cdot 6 = 18d + 54 \]

2. Substitute this back into the expression: \[ 17d - 33 + 18d + 54 - 11 \]

3. Now combine like terms:

   • Combine the \( d \) terms: \[ 17d + 18d = 35d \]
   • Combine the constant terms: \[ -33 + 54 - 11 = -33 + 43 = 10 \]

4. Now, put it all together: \[ 35d + 10 \]

So, the simplified expression is: \[ \boxed{35d + 10} \]

Answer 2

simplify 6(3q-4)+18-12q-7(4q+5)

Answer 3

To simplify the expression \( 6(3q - 4) + 18 - 12q - 7(4q + 5) \), follow these steps:

1. Distribute the terms inside the parentheses:

   • For \( 6(3q - 4) \): \[ 6 \cdot 3q - 6 \cdot 4 = 18q - 24 \]
   • For \( -7(4q + 5) \): \[ -7 \cdot 4q - 7 \cdot 5 = -28q - 35 \]

2. Substitute these back into the expression: \[ (18q - 24) + 18 - 12q + (-28q - 35) \]

3. Combine like terms:

   • Combine the \( q \) terms: \[ 18q - 12q - 28q = (18 - 12 - 28)q = -22q \]
   • Combine the constant terms: \[ -24 + 18 - 35 = -24 + 18 - 35 = -6 - 35 = -41 \]

4. Putting it all together, the expression becomes: \[ -22q - 41 \]

So, the simplified expression is: \[ \boxed{-22q - 41} \]

Answer 4

Simplify -5+3/4(8h+12)-10h

Answer 5

To simplify the expression \(-5 + \frac{3}{4}(8h + 12) - 10h\), follow these steps:

1. Distribute \(\frac{3}{4}\) into the parentheses: \[ \frac{3}{4}(8h + 12) = \frac{3}{4} \cdot 8h + \frac{3}{4} \cdot 12 \] Calculating each term: \[ \frac{3}{4} \cdot 8h = 6h \] \[ \frac{3}{4} \cdot 12 = 9 \]

   So, \(\frac{3}{4}(8h + 12) = 6h + 9\).

2. Substitute this back into the expression: \[ -5 + (6h + 9) - 10h \]

3. Now combine like terms:

   • Combine the \(h\) terms: \[ 6h - 10h = -4h \]
   • Combine the constant terms: \[ -5 + 9 = 4 \]

4. Putting it all together, the expression becomes: \[ -4h + 4 \]

Thus, the simplified expression is: \[ \boxed{-4h + 4} \]

Answer 6

Factor 24n-32 using only GCF.

Answer 7

To factor the expression \( 24n - 32 \) using the greatest common factor (GCF), follow these steps:

1. Find the GCF of the coefficients: The coefficients are \( 24 \) and \( 32 \).

   • The prime factorization of \( 24 \) is \( 2^3 \times 3 \).
   • The prime factorization of \( 32 \) is \( 2^5 \).
   • The GCF is the product of the lowest powers of the common prime factors. Here, the common factor is \( 2 \), and the lowest power is \( 2^3 = 8 \).

2. Factor out the GCF: \[ 24n - 32 = 8(3n) - 8(4) = 8(3n - 4) \]

Thus, the factored form of \( 24n - 32 \) is: \[ \boxed{8(3n - 4)} \]

Answer 8

simplify 23-9(2x+5)+11x

Answer 9

To simplify the expression \( 23 - 9(2x + 5) + 11x \), follow these steps:

1. Distribute \(-9\) into the parentheses: \[ -9(2x + 5) = -9 \cdot 2x - 9 \cdot 5 = -18x - 45 \]

2. Substitute this back into the expression: \[ 23 - 18x - 45 + 11x \]

3. Combine like terms:

   • Combine the \(x\) terms: \[ -18x + 11x = -7x \]
   • Combine the constant terms: \[ 23 - 45 = -22 \]

4. Putting it all together: \[ -7x - 22 \]

Therefore, the simplified expression is: \[ \boxed{-7x - 22} \]

Answer 10

do it using distriputive property

Answer 11

Certainly! Let's simplify \( 23 - 9(2x + 5) + 11x \) using the distributive property step-by-step.

1. Apply the distributive property to distribute \(-9\) into the parentheses: \[ -9(2x + 5) = -9 \cdot 2x - 9 \cdot 5 = -18x - 45 \]

2. Rewrite the expression with this substitution: \[ 23 - 18x - 45 + 11x \]

3. Now, combine like terms:

   • Combine the \(x\) terms: \[ -18x + 11x = -7x \]
   • Combine the constant terms: \[ 23 - 45 = -22 \]

4. Putting it all together, we have: \[ -7x - 22 \]

So, using the distributive property, the simplified expression is: \[ \boxed{-7x - 22} \]