Question

simplify 5( 7x - 2) - 14x + 4

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

To simplify the expression 5(7x - 2) - 14x + 4, you can distribute the 5 to the terms inside the parentheses:

5(7x - 2) - 14x + 4 = 35x - 10 - 14x + 4

Next, combine like terms:

35x - 10 - 14x + 4 = (35x - 14x) + (-10 + 4) = 21x - 6

Therefore, the simplified expression is 21x - 6.

Answer 5

To simplify the expression 17d - 33 + 9 (2d + 6) - 11, we must start by distributing the 9 to the terms inside the parentheses:

9(2d + 6) = 18d + 54

Rewriting the expression with the distribution gives us:

17d - 33 + 18d + 54 - 11

Next, combine like terms:

(17d + 18d) + (-33 + 54 - 11) = 35d + 10

Therefore, the simplified expression is 35d + 10.

Answer 6

To simplify the expression 6(3q - 4) + 18 - 12q - 7(4q + 5), let's begin by distributing the 6 and the -7:

6(3q - 4) + 18 - 12q - 7(4q + 5) = 18q - 24 + 18 - 12q - 28q - 35

Next, combine like terms:

(18q - 12q - 28q) + (-24 + 18 - 35) = -22q - 41

Therefore, the simplified expression is -22q - 41.

Answer 7

To simplify the expression -5 + 3/4 (8h + 12) - 10h, let's begin by distributing the 3/4:

3/4 (8h + 12) = (3/4)(8h) + (3/4)(12) = 6h + 9

Rewriting the expression with the distribution gives us:

-5 + 6h + 9 - 10h

Next, combine like terms:

(6h - 10h) + (-5 + 9) = -4h + 4

Therefore, the simplified expression is -4h + 4.