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9n-6=5n+12
We move all terms to the left:
9n-6-(5n+12)=0
We get rid of parentheses
9n-5n-12-6=0
We add all the numbers together, and all the variables
4n-18=0
We move all terms containing n to the left, all other terms to the right
4n=18
n=18/4
n=4+1/2
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