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5n-15=7n+15
We move all terms to the left:
5n-15-(7n+15)=0
We get rid of parentheses
5n-7n-15-15=0
We add all the numbers together, and all the variables
-2n-30=0
We move all terms containing n to the left, all other terms to the right
-2n=30
n=30/-2
n=-15
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