-12(1+8n)=8n-9(11n-12)

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Solution for -12(1+8n)=8n-9(11n-12) equation:


Simplifying
-12(1 + 8n) = 8n + -9(11n + -12)
(1 * -12 + 8n * -12) = 8n + -9(11n + -12)
(-12 + -96n) = 8n + -9(11n + -12)

Reorder the terms:
-12 + -96n = 8n + -9(-12 + 11n)
-12 + -96n = 8n + (-12 * -9 + 11n * -9)
-12 + -96n = 8n + (108 + -99n)

Reorder the terms:
-12 + -96n = 108 + 8n + -99n

Combine like terms: 8n + -99n = -91n
-12 + -96n = 108 + -91n

Solving
-12 + -96n = 108 + -91n

Solving for variable 'n'.

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

Add '91n' to each side of the equation.
-12 + -96n + 91n = 108 + -91n + 91n

Combine like terms: -96n + 91n = -5n
-12 + -5n = 108 + -91n + 91n

Combine like terms: -91n + 91n = 0
-12 + -5n = 108 + 0
-12 + -5n = 108

Add '12' to each side of the equation.
-12 + 12 + -5n = 108 + 12

Combine like terms: -12 + 12 = 0
0 + -5n = 108 + 12
-5n = 108 + 12

Combine like terms: 108 + 12 = 120
-5n = 120

Divide each side by '-5'.
n = -24

Simplifying
n = -24

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