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(n-7)-3(3n+10)=3n-9+2-n
We move all terms to the left:
(n-7)-3(3n+10)-(3n-9+2-n)=0
We add all the numbers together, and all the variables
(n-7)-3(3n+10)-(2n-7)=0
We multiply parentheses
(n-7)-9n-(2n-7)-30=0
We get rid of parentheses
n-9n-2n-7+7-30=0
We add all the numbers together, and all the variables
-10n-30=0
We move all terms containing n to the left, all other terms to the right
-10n=30
n=30/-10
n=-3
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