Which expression is equivalent to 6(2m – 1) – 4(m + 8)?

If these are the choices:
A. 8m – 38

B. 8m + 7

C. 8m + 31

D. 2m – 38

Solution:

6(2m - 1) - 4(m + 8)

distributive property of multiplication:
6(2m) + 6(-1) -4(m) -4(8)
12m - 6 -4m -32

combine like terms:
12m - 4m - 6 - 32
8m - 38  choice A. 

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