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5(3n+3)=6(7n+2)+6
We move all terms to the left:
5(3n+3)-(6(7n+2)+6)=0
We multiply parentheses
15n-(6(7n+2)+6)+15=0
We calculate terms in parentheses: -(6(7n+2)+6), so:We get rid of parentheses
6(7n+2)+6
We multiply parentheses
42n+12+6
We add all the numbers together, and all the variables
42n+18
Back to the equation:
-(42n+18)
15n-42n-18+15=0
We add all the numbers together, and all the variables
-27n-3=0
We move all terms containing n to the left, all other terms to the right
-27n=3
n=3/-27
n=-1/9
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