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6(5n+5)=2(3n+3)
We move all terms to the left:
6(5n+5)-(2(3n+3))=0
We multiply parentheses
30n-(2(3n+3))+30=0
We calculate terms in parentheses: -(2(3n+3)), so:We get rid of parentheses
2(3n+3)
We multiply parentheses
6n+6
Back to the equation:
-(6n+6)
30n-6n-6+30=0
We add all the numbers together, and all the variables
24n+24=0
We move all terms containing n to the left, all other terms to the right
24n=-24
n=-24/24
n=-1
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