Question

Which expression is equivalent to 5m - (2m - 8) + 12 + 6m?

A 9m + 4
B.9m + 20
C.13m + 4
D. 13m + 20

Answer 1

b) 9m + 20

Explanation:

Given expression,

→ 5m - (2m - 8) + 12 + 6m

Simplifying the expression,

→ 5m - (2m - 8) + 12 + 6m

→ 5m - 2m + 8 + 12 + 6m

→ (5m - 2m + 6m) + (8 + 12)

→ 9m + 20

Hence, answer is 9m + 20.

Answer 2

The equivalent expression to this problem is 9m + 20. This would be option B.

We can begin by distributing -1 into everything inside the parenthesis:

-1 • 2m = -2m
-1 • -8 = 8

Now we can remove parenthesis:

5m - 2m + 8 + 12 + 6m

Finally, let’s combine like terms to find our expression:

(5m - 2m + 6m) + (8 + 12)

9m + 20

Hence, option B is correct.