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8n-(3n+7)=1
We move all terms to the left:
8n-(3n+7)-(1)=0
We get rid of parentheses
8n-3n-7-1=0
We add all the numbers together, and all the variables
5n-8=0
We move all terms containing n to the left, all other terms to the right
5n=8
n=8/5
n=1+3/5
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