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-6(v+4)+3v+7=7v+11

We move all terms to the left:

-6(v+4)+3v+7-(7v+11)=0

We add all the numbers together, and all the variables

3v-6(v+4)-(7v+11)+7=0

We multiply parentheses

3v-6v-(7v+11)-24+7=0

We get rid of parentheses

3v-6v-7v-11-24+7=0

We add all the numbers together, and all the variables

-10v-28=0

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

-10v=28

v=28/-10

v=-2+4/5

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