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4(v-3)=7v-42
We move all terms to the left:
4(v-3)-(7v-42)=0
We multiply parentheses
4v-(7v-42)-12=0
We get rid of parentheses
4v-7v+42-12=0
We add all the numbers together, and all the variables
-3v+30=0
We move all terms containing v to the left, all other terms to the right
-3v=-30
v=-30/-3
v=+10
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