Question

Which expression is equivalent to 3(4m - 2) - 2(m + 5)

A. 10m - 16

B. 14m + 4

C. -16m + 10

D. 12m - 6

Answer 1

A. 10m - 16

Explanation:

First, distribute 3 to all terms within the corresponding parenthesis, and -2 likewise:

3(4m - 2) =

3 * 4m = 12m

3 * -2 = -6

3(4m - 2) = 12m - 6

-2(m + 5) =

-2 * m = -2m

-2 * 5 = -10

-2(m + 5) = -2m -10

Combine like terms:

12m - 6 -2m - 10

12m - 2m - 6 - 10

(12m - 2m) + (-6 - 10)

10m - 16

A. 10m - 16 is your answer.

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Answer 2

10 m - 16 (Answer A)

Explanation:

We use distributive property to eliminate parenthesis:

12 m - 6 - 2 m -10

and now combine like terms:

[12 m - 2 m] - 6 - 10

10 m - 16

Therefore, answer option A. is the correct one