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9n+7=7n+15
We move all terms to the left:
9n+7-(7n+15)=0
We get rid of parentheses
9n-7n-15+7=0
We add all the numbers together, and all the variables
2n-8=0
We move all terms containing n to the left, all other terms to the right
2n=8
n=8/2
n=4
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