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3(6n+3)=81
We move all terms to the left:
3(6n+3)-(81)=0
We multiply parentheses
18n+9-81=0
We add all the numbers together, and all the variables
18n-72=0
We move all terms containing n to the left, all other terms to the right
18n=72
n=72/18
n=4
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