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4(v+4)=-8v+40

We move all terms to the left:

4(v+4)-(-8v+40)=0

We multiply parentheses

4v-(-8v+40)+16=0

We get rid of parentheses

4v+8v-40+16=0

We add all the numbers together, and all the variables

12v-24=0

We move all terms containing v to the left, all other terms to the right

12v=24

v=24/12

v=2

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