Question

Simplify. 3(2x+4y-2z)+7(x+y-4z)

a. 13x+5y-22z
b. -x-19y+22z
c. 13x+19y-34z
d. -x-5y+34z

Answer 1

13x + 19y - 34z is correct.

Explanation:

Distribute to get 6x + 12y - 6z + 7x + 7y - 28z, which combines to the answer.

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Answer 2

3(2x+4y-2z)+7(x+y-4z) =
3*2x + 3*4y - 3*2z + 7x + 7y - 7*4z =
6x + 12y - 6z + 7x + 7y - 28z =
(6+7)x + (12+7)y + (-6-28)z =
13x + 19y + (-34)z =
13x + 19y -34z;