3(n+6)=-4(12-n)+5n

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Solution for 3(n+6)=-4(12-n)+5n equation:



3(n+6)=-4(12-n)+5n
We move all terms to the left:
3(n+6)-(-4(12-n)+5n)=0
We add all the numbers together, and all the variables
3(n+6)-(-4(-1n+12)+5n)=0
We multiply parentheses
3n-(-4(-1n+12)+5n)+18=0
We calculate terms in parentheses: -(-4(-1n+12)+5n), so:
-4(-1n+12)+5n
We add all the numbers together, and all the variables
5n-4(-1n+12)
We multiply parentheses
5n+4n-48
We add all the numbers together, and all the variables
9n-48
Back to the equation:
-(9n-48)
We get rid of parentheses
3n-9n+48+18=0
We add all the numbers together, and all the variables
-6n+66=0
We move all terms containing n to the left, all other terms to the right
-6n=-66
n=-66/-6
n=+11

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