8(9+12n)=12(10n-3)+12n

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Solution for 8(9+12n)=12(10n-3)+12n equation: 



8(9+12n)=12(10n-3)+12n

We move all terms to the left:

8(9+12n)-(12(10n-3)+12n)=0

We add all the numbers together, and all the variables

8(12n+9)-(12(10n-3)+12n)=0

We multiply parentheses

96n-(12(10n-3)+12n)+72=0



We calculate terms in parentheses: -(12(10n-3)+12n), so:

12(10n-3)+12n

We add all the numbers together, and all the variables

12n+12(10n-3)

We multiply parentheses

12n+120n-36

We add all the numbers together, and all the variables

132n-36

Back to the equation:

-(132n-36)



We get rid of parentheses

96n-132n+36+72=0

We add all the numbers together, and all the variables

-36n+108=0

We move all terms containing n to the left, all other terms to the right

-36n=-108

n=-108/-36

n=+3

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