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6-5(-7n-2)=8n+1
We move all terms to the left:
6-5(-7n-2)-(8n+1)=0
We multiply parentheses
35n-(8n+1)+10+6=0
We get rid of parentheses
35n-8n-1+10+6=0
We add all the numbers together, and all the variables
27n+15=0
We move all terms containing n to the left, all other terms to the right
27n=-15
n=-15/27
n=-5/9
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