-12(6n+3)=9(-9n+9)

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Solution for -12(6n+3)=9(-9n+9) equation:


Simplifying
-12(6n + 3) = 9(-9n + 9)

Reorder the terms:
-12(3 + 6n) = 9(-9n + 9)
(3 * -12 + 6n * -12) = 9(-9n + 9)
(-36 + -72n) = 9(-9n + 9)

Reorder the terms:
-36 + -72n = 9(9 + -9n)
-36 + -72n = (9 * 9 + -9n * 9)
-36 + -72n = (81 + -81n)

Solving
-36 + -72n = 81 + -81n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '81n' to each side of the equation.
-36 + -72n + 81n = 81 + -81n + 81n

Combine like terms: -72n + 81n = 9n
-36 + 9n = 81 + -81n + 81n

Combine like terms: -81n + 81n = 0
-36 + 9n = 81 + 0
-36 + 9n = 81

Add '36' to each side of the equation.
-36 + 36 + 9n = 81 + 36

Combine like terms: -36 + 36 = 0
0 + 9n = 81 + 36
9n = 81 + 36

Combine like terms: 81 + 36 = 117
9n = 117

Divide each side by '9'.
n = 13

Simplifying
n = 13

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