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6n+1=3n+7
We move all terms to the left:
6n+1-(3n+7)=0
We get rid of parentheses
6n-3n-7+1=0
We add all the numbers together, and all the variables
3n-6=0
We move all terms containing n to the left, all other terms to the right
3n=6
n=6/3
n=2
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