6(-6+2n)=6(8+n)-n

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Solution for 6(-6+2n)=6(8+n)-n equation:



6(-6+2n)=6(8+n)-n
We move all terms to the left:
6(-6+2n)-(6(8+n)-n)=0
We add all the numbers together, and all the variables
6(2n-6)-(6(n+8)-n)=0
We multiply parentheses
12n-(6(n+8)-n)-36=0
We calculate terms in parentheses: -(6(n+8)-n), so:
6(n+8)-n
We add all the numbers together, and all the variables
-1n+6(n+8)
We multiply parentheses
-1n+6n+48
We add all the numbers together, and all the variables
5n+48
Back to the equation:
-(5n+48)
We get rid of parentheses
12n-5n-48-36=0
We add all the numbers together, and all the variables
7n-84=0
We move all terms containing n to the left, all other terms to the right
7n=84
n=84/7
n=12

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