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-5(v+3)+3v+6=8v+12

We move all terms to the left:

-5(v+3)+3v+6-(8v+12)=0

We add all the numbers together, and all the variables

3v-5(v+3)-(8v+12)+6=0

We multiply parentheses

3v-5v-(8v+12)-15+6=0

We get rid of parentheses

3v-5v-8v-12-15+6=0

We add all the numbers together, and all the variables

-10v-21=0

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

-10v=21

v=21/-10

v=-2+1/10

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