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3(n+5)=7(n-3)
We move all terms to the left:
3(n+5)-(7(n-3))=0
We multiply parentheses
3n-(7(n-3))+15=0
We calculate terms in parentheses: -(7(n-3)), so:We get rid of parentheses
7(n-3)
We multiply parentheses
7n-21
Back to the equation:
-(7n-21)
3n-7n+21+15=0
We add all the numbers together, and all the variables
-4n+36=0
We move all terms containing n to the left, all other terms to the right
-4n=-36
n=-36/-4
n=+9
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