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