Question

Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?

Answer 1

Answer:

2 (3 - 7 r)

Step-by-step explanation:

Simplify the following:

-4 (3 r - 2) - 2 (r + 1)

-4 (3 r - 2) = 8 - 12 r:

8 - 12 r - 2 (r + 1)

-2 (r + 1) = -2 r - 2:

-12 r + -2 r - 2 + 8

Grouping like terms, -2 r - 12 r - 2 + 8 = (8 - 2) + (-12 r - 2 r):

(8 - 2) + (-12 r - 2 r)

-12 r - 2 r = -14 r:

-14 r + (8 - 2)

8 - 2 = 6:

6 - 14 r

Factor 2 out of 6 - 14 r:

Answer: 2 (3 - 7 r)