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15(n+1)=5(n-1)-7
We move all terms to the left:
15(n+1)-(5(n-1)-7)=0
We multiply parentheses
15n-(5(n-1)-7)+15=0
We calculate terms in parentheses: -(5(n-1)-7), so:We get rid of parentheses
5(n-1)-7
We multiply parentheses
5n-5-7
We add all the numbers together, and all the variables
5n-12
Back to the equation:
-(5n-12)
15n-5n+12+15=0
We add all the numbers together, and all the variables
10n+27=0
We move all terms containing n to the left, all other terms to the right
10n=-27
n=-27/10
n=-2+7/10
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