6(2n+1)=3(2n-6)

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Solution for 6(2n+1)=3(2n-6) equation:



6(2n+1)=3(2n-6)
We move all terms to the left:
6(2n+1)-(3(2n-6))=0
We multiply parentheses
12n-(3(2n-6))+6=0
We calculate terms in parentheses: -(3(2n-6)), so:
3(2n-6)
We multiply parentheses
6n-18
Back to the equation:
-(6n-18)
We get rid of parentheses
12n-6n+18+6=0
We add all the numbers together, and all the variables
6n+24=0
We move all terms containing n to the left, all other terms to the right
6n=-24
n=-24/6
n=-4

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