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2n+2=3n+1
We move all terms to the left:
2n+2-(3n+1)=0
We get rid of parentheses
2n-3n-1+2=0
We add all the numbers together, and all the variables
-1n+1=0
We move all terms containing n to the left, all other terms to the right
-n=-1
n=-1/-1
n=1
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