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6n-9=n+6
We move all terms to the left:
6n-9-(n+6)=0
We get rid of parentheses
6n-n-6-9=0
We add all the numbers together, and all the variables
5n-15=0
We move all terms containing n to the left, all other terms to the right
5n=15
n=15/5
n=3
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