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5n-12=-3n
We move all terms to the left:
5n-12-(-3n)=0
We get rid of parentheses
5n+3n-12=0
We add all the numbers together, and all the variables
8n-12=0
We move all terms containing n to the left, all other terms to the right
8n=12
n=12/8
n=1+1/2
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