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55=3n-8
We move all terms to the left:
55-(3n-8)=0
We get rid of parentheses
-3n+8+55=0
We add all the numbers together, and all the variables
-3n+63=0
We move all terms containing n to the left, all other terms to the right
-3n=-63
n=-63/-3
n=+21
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