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37=3(n-1)+2n
We move all terms to the left:
37-(3(n-1)+2n)=0
We calculate terms in parentheses: -(3(n-1)+2n), so:We get rid of parentheses
3(n-1)+2n
We add all the numbers together, and all the variables
2n+3(n-1)
We multiply parentheses
2n+3n-3
We add all the numbers together, and all the variables
5n-3
Back to the equation:
-(5n-3)
-5n+3+37=0
We add all the numbers together, and all the variables
-5n+40=0
We move all terms containing n to the left, all other terms to the right
-5n=-40
n=-40/-5
n=+8
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