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31=5v-9
We move all terms to the left:
31-(5v-9)=0
We get rid of parentheses
-5v+9+31=0
We add all the numbers together, and all the variables
-5v+40=0
We move all terms containing v to the left, all other terms to the right
-5v=-40
v=-40/-5
v=+8
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