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3v+2=-v-6

We move all terms to the left:

3v+2-(-v-6)=0

We add all the numbers together, and all the variables

3v-(-1v-6)+2=0

We get rid of parentheses

3v+1v+6+2=0

We add all the numbers together, and all the variables

4v+8=0

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

4v=-8

v=-8/4

v=-2

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