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6n-2=3n-8
We move all terms to the left:
6n-2-(3n-8)=0
We get rid of parentheses
6n-3n+8-2=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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