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

first do the multiplication to expand out those ( ) terms, distribute the 3 and 7 into those terms

Answer 2

then combine the addition of the x,y,and z terms

Answer 3

a*(b + c + d) = a*b + a*c + a*d

Answer 4

Distribute 3 and 7:
(6x + 12y - 6z) + (7x + 7y - 28z)

Answer 5

so 3*2x=6x 3*4y=12y 3*2z=6z wich would make the problem (6x+12y-6z) + (7x+7y-28z)

Answer 6

Now combine like terms and you will have your answer.

Answer 7

13x + 19y - 34z