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113=5(1+4n)+7n
We move all terms to the left:
113-(5(1+4n)+7n)=0
We add all the numbers together, and all the variables
-(5(4n+1)+7n)+113=0
We calculate terms in parentheses: -(5(4n+1)+7n), so:We get rid of parentheses
5(4n+1)+7n
We add all the numbers together, and all the variables
7n+5(4n+1)
We multiply parentheses
7n+20n+5
We add all the numbers together, and all the variables
27n+5
Back to the equation:
-(27n+5)
-27n-5+113=0
We add all the numbers together, and all the variables
-27n+108=0
We move all terms containing n to the left, all other terms to the right
-27n=-108
n=-108/-27
n=+4
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