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7n-17=12n-52
We move all terms to the left:
7n-17-(12n-52)=0
We get rid of parentheses
7n-12n+52-17=0
We add all the numbers together, and all the variables
-5n+35=0
We move all terms containing n to the left, all other terms to the right
-5n=-35
n=-35/-5
n=+7
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