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3(5n-6)=17+8n
We move all terms to the left:
3(5n-6)-(17+8n)=0
We add all the numbers together, and all the variables
3(5n-6)-(8n+17)=0
We multiply parentheses
15n-(8n+17)-18=0
We get rid of parentheses
15n-8n-17-18=0
We add all the numbers together, and all the variables
7n-35=0
We move all terms containing n to the left, all other terms to the right
7n=35
n=35/7
n=5
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