Simplify 5(7x−2)−14x+4

Question

Simplify 17d−33+9(2d+6)−11
Simplify 6(3q−4)+18−12q−7(4q+5)
Simplify −5+3/4(8h+12)−10h .
Factor 24n−32 using the GCF.

Answer 1

To simplify 5(7x-2)-14x+4, we can distribute the 5 to both terms inside the parentheses:
= 35x - 10 - 14x + 4
Next, we can combine like terms:
= (35x - 14x) + (-10 + 4)
= 21x - 6

To simplify 17d - 33 + 9(2d+6) - 11, we can distribute the 9 to the terms inside the parentheses:
= 17d - 33 + 9(2d) + 9(6) - 11
= 17d - 33 + 18d + 54 - 11
Next, we can combine like terms:
= (17d + 18d) + (-33 + 54 - 11)
= 35d + 10

To simplify 6(3q-4) + 18 - 12q - 7(4q+5), we can distribute the 6 and -7 to the terms inside the parentheses:
= 18q - 24 + 18 - 12q - 28q - 35
Next, we can combine like terms:
= (18q - 12q - 28q) + (-24 + 18 - 35)
= -22q - 41

To simplify -5 + 3/4(8h+12) - 10h, we can distribute the 3/4 to the terms inside the parentheses:
= -5 + 3/4(8h) + 3/4(12) - 10h
= -5 + 6h + 9/4 - 10h
Next, we can combine like terms:
= (6h - 10h) + (-5 + 9/4)
= -4h - 5/4

To factor 24n - 32 using the GCF (greatest common factor), we can determine that the GCF of 24 and 32 is 8. So we can factor out 8 from both terms:
= 8(3n - 4)

Answer 2

Simplify −5 + 3/4(8h+12) − 10h

Answer 3

To simplify −5 + 3/4(8h+12) − 10h:

First, distribute 3/4 to both terms inside the parentheses:

−5 + 3/4(8h) + 3/4(12) − 10h

Simplifying the terms inside the parentheses:

−5 + 6h + 9 - 10h

Next, combine like terms:

(6h - 10h) + (−5 + 9)

Simplifying further:

-4h + 4

The simplified expression is -4h + 4.

Answer 4

Simplify −5 + 3/4(8h + 12) − 10h

Answer 5

To simplify −5 + 3/4(8h + 12) − 10h:

First, distribute 3/4 to both terms inside the parentheses:

−5 + 3/4(8h) + 3/4(12) − 10h

Simplifying the terms inside the parentheses:

−5 + 6h + 9 - 10h

Next, combine like terms:

(6h - 10h) + (−5 + 9)

Simplifying further:

-4h + 4

The simplified expression is -4h + 4.