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-12=5n-7n
We move all terms to the left:
-12-(5n-7n)=0
We add all the numbers together, and all the variables
-(-2n)-12=0
We get rid of parentheses
2n-12=0
We move all terms containing n to the left, all other terms to the right
2n=12
n=12/2
n=6
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