How do you solve -4( v + 1) = 2v - 8+ 2( 4v + 7)?

1 Answer
Jun 23, 2017

v=-5/7

Explanation:

-4(v+1)=2v-8+2(4v+7)

The first step is to use the distributive property to get rid of the parentheses.

-4(v)-4(1)=2v-8+2(4v)+2(7)

-4v-4=2v-8+8v+14

Next, combine like terms.

-4v-4=10v+6

Your goal is to isolate v, so you can do this by subtracting 10v on both sides.

-14v-4=6

Now you need to move all the constants to the other side. Add 4 on both sides.

-14v=10

Last, all you have to do is divide -14 on both sides to completely isolate v!

v=-10/14

Don't forget to write your fraction in simplest form.

v=-5/7