-8n+32=-4(-6+n)-6n

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Solution for -8n+32=-4(-6+n)-6n equation: 


Simplifying
-8n + 32 = -4(-6 + n) + -6n

Reorder the terms:
32 + -8n = -4(-6 + n) + -6n
32 + -8n = (-6 * -4 + n * -4) + -6n
32 + -8n = (24 + -4n) + -6n

Combine like terms: -4n + -6n = -10n
32 + -8n = 24 + -10n

Solving
32 + -8n = 24 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
32 + -8n + 10n = 24 + -10n + 10n

Combine like terms: -8n + 10n = 2n
32 + 2n = 24 + -10n + 10n

Combine like terms: -10n + 10n = 0
32 + 2n = 24 + 0
32 + 2n = 24

Add '-32' to each side of the equation.
32 + -32 + 2n = 24 + -32

Combine like terms: 32 + -32 = 0
0 + 2n = 24 + -32
2n = 24 + -32

Combine like terms: 24 + -32 = -8
2n = -8

Divide each side by '2'.
n = -4

Simplifying
n = -4

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