12(n+9)-12n=-7n+3(-5n-8)

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Solution for 12(n+9)-12n=-7n+3(-5n-8) equation:


Simplifying
12(n + 9) + -12n = -7n + 3(-5n + -8)

Reorder the terms:
12(9 + n) + -12n = -7n + 3(-5n + -8)
(9 * 12 + n * 12) + -12n = -7n + 3(-5n + -8)
(108 + 12n) + -12n = -7n + 3(-5n + -8)

Combine like terms: 12n + -12n = 0
108 + 0 = -7n + 3(-5n + -8)
108 = -7n + 3(-5n + -8)

Reorder the terms:
108 = -7n + 3(-8 + -5n)
108 = -7n + (-8 * 3 + -5n * 3)
108 = -7n + (-24 + -15n)

Reorder the terms:
108 = -24 + -7n + -15n

Combine like terms: -7n + -15n = -22n
108 = -24 + -22n

Solving
108 = -24 + -22n

Solving for variable 'n'.

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

Add '22n' to each side of the equation.
108 + 22n = -24 + -22n + 22n

Combine like terms: -22n + 22n = 0
108 + 22n = -24 + 0
108 + 22n = -24

Add '-108' to each side of the equation.
108 + -108 + 22n = -24 + -108

Combine like terms: 108 + -108 = 0
0 + 22n = -24 + -108
22n = -24 + -108

Combine like terms: -24 + -108 = -132
22n = -132

Divide each side by '22'.
n = -6

Simplifying
n = -6

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