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

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


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

Reorder the terms:
-2 + -3(-6 + -8n) = 6(3n + 2) + -8
-2 + (-6 * -3 + -8n * -3) = 6(3n + 2) + -8
-2 + (18 + 24n) = 6(3n + 2) + -8

Combine like terms: -2 + 18 = 16
16 + 24n = 6(3n + 2) + -8

Reorder the terms:
16 + 24n = 6(2 + 3n) + -8
16 + 24n = (2 * 6 + 3n * 6) + -8
16 + 24n = (12 + 18n) + -8

Reorder the terms:
16 + 24n = 12 + -8 + 18n

Combine like terms: 12 + -8 = 4
16 + 24n = 4 + 18n

Solving
16 + 24n = 4 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
16 + 24n + -18n = 4 + 18n + -18n

Combine like terms: 24n + -18n = 6n
16 + 6n = 4 + 18n + -18n

Combine like terms: 18n + -18n = 0
16 + 6n = 4 + 0
16 + 6n = 4

Add '-16' to each side of the equation.
16 + -16 + 6n = 4 + -16

Combine like terms: 16 + -16 = 0
0 + 6n = 4 + -16
6n = 4 + -16

Combine like terms: 4 + -16 = -12
6n = -12

Divide each side by '6'.
n = -2

Simplifying
n = -2

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