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5n-5=9n+7
We move all terms to the left:
5n-5-(9n+7)=0
We get rid of parentheses
5n-9n-7-5=0
We add all the numbers together, and all the variables
-4n-12=0
We move all terms containing n to the left, all other terms to the right
-4n=12
n=12/-4
n=-3
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