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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