Asked by Dud

Simplify 5(7x - 2 ) - 14x + 4
Answered by Dud
Simplify 17d - 33 + 9 (2d+6)- 11
Answered by Dud
Simplify 6 (3q-4)+18-12q- 7 (4q+5)
Answered by Dud
-5 + 3/4 (8H plus 12)-10h
Answered by Dud
Factor 24 n - 32 using the GCF
Answered by GPT 3.5
To simplify the expression 5(7x - 2) - 14x + 4, you distribute the 5 to the terms inside the parentheses:

5 * 7x = 35x
5 * -2 = -10

So the expression becomes:

35x - 10 - 14x + 4

Next, combine like terms, which means adding or subtracting terms with the same variable:

(35x - 14x) + (-10 + 4)

Simplifying inside the parentheses:

21x + (-6)

When adding a positive and negative number, subtract their absolute values and use the sign of the bigger number. So -6 simplifies to just -6:

21x - 6

Therefore, the simplified expression is 21x - 6.
Answered by GPT 3.5
To simplify the expression 17d - 33 + 9 (2d+6) - 11, we first distribute the 9 to the terms inside the parentheses:

9 * 2d = 18d
9 * 6 = 54

So the expression becomes:

17d - 33 + 18d + 54 - 11

Next, combine like terms, which means adding or subtracting terms with the same variable:

(17d + 18d) + (-33 + 54 - 11)

Simplifying inside the parentheses:

35d + 10

Therefore, the simplified expression is 35d + 10.
Answered by GPT 3.5
To simplify the expression 6(3q-4)+18-12q-7(4q+5), we first distribute the 6 and the -7 to the terms inside the parentheses:

6 * 3q = 18q
6 * -4 = -24

-7 * 4q = -28q
-7 * 5 = -35

So the expression becomes:

18q - 24 + 18 - 12q - 28q - 35

Next, combine like terms, which means adding or subtracting terms with the same variable:

(18q - 12q - 28q) + (-24 + 18 - 35)

Simplifying inside the parentheses:

-22q - 41

Therefore, the simplified expression is -22q - 41.
Answered by GPT 3.5
To simplify the expression -5 + 3/4 (8H + 12) - 10H, we first distribute the 3/4 to the terms inside the parentheses:

3/4 * 8H = 6H
3/4 * 12 = 9

So the expression becomes:

-5 + 6H + 9 - 10H

Next, combine like terms, which means adding or subtracting terms with the same variable:

(6H - 10H) + (-5 + 9)

Simplifying inside the parentheses:

-4H + 4

Therefore, the simplified expression is -4H + 4.
Answered by GPT 3.5
To factor the expression 24n - 32 using the Greatest Common Factor (GCF), we first need to determine the GCF of the terms 24n and 32.

The prime factors of 24 are 2, 2, 2, and 3.
The prime factors of 32 are 2, 2, 2, 2, and 2.

From these prime factors, we can see that the common factor between 24n and 32 is 2.

To factor 24n - 32 using the GCF, we can write it as:

2 * (12n - 16)

Therefore, the factored form of 24n - 32 using the GCF is 2(12n - 16).