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-174=5(1+6n)+1
We move all terms to the left:
-174-(5(1+6n)+1)=0
We add all the numbers together, and all the variables
-(5(6n+1)+1)-174=0
We calculate terms in parentheses: -(5(6n+1)+1), so:We get rid of parentheses
5(6n+1)+1
We multiply parentheses
30n+5+1
We add all the numbers together, and all the variables
30n+6
Back to the equation:
-(30n+6)
-30n-6-174=0
We add all the numbers together, and all the variables
-30n-180=0
We move all terms containing n to the left, all other terms to the right
-30n=180
n=180/-30
n=-6
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