-6(-3n-6)-2n=8n-28

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Solution for -6(-3n-6)-2n=8n-28 equation: 


Simplifying
-6(-3n + -6) + -2n = 8n + -28

Reorder the terms:
-6(-6 + -3n) + -2n = 8n + -28
(-6 * -6 + -3n * -6) + -2n = 8n + -28
(36 + 18n) + -2n = 8n + -28

Combine like terms: 18n + -2n = 16n
36 + 16n = 8n + -28

Reorder the terms:
36 + 16n = -28 + 8n

Solving
36 + 16n = -28 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
36 + 16n + -8n = -28 + 8n + -8n

Combine like terms: 16n + -8n = 8n
36 + 8n = -28 + 8n + -8n

Combine like terms: 8n + -8n = 0
36 + 8n = -28 + 0
36 + 8n = -28

Add '-36' to each side of the equation.
36 + -36 + 8n = -28 + -36

Combine like terms: 36 + -36 = 0
0 + 8n = -28 + -36
8n = -28 + -36

Combine like terms: -28 + -36 = -64
8n = -64

Divide each side by '8'.
n = -8

Simplifying
n = -8

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