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

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


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

Reorder the terms:
6(6 + n) = -8n + 4(n + -6)
(6 * 6 + n * 6) = -8n + 4(n + -6)
(36 + 6n) = -8n + 4(n + -6)

Reorder the terms:
36 + 6n = -8n + 4(-6 + n)
36 + 6n = -8n + (-6 * 4 + n * 4)
36 + 6n = -8n + (-24 + 4n)

Reorder the terms:
36 + 6n = -24 + -8n + 4n

Combine like terms: -8n + 4n = -4n
36 + 6n = -24 + -4n

Solving
36 + 6n = -24 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
36 + 6n + 4n = -24 + -4n + 4n

Combine like terms: 6n + 4n = 10n
36 + 10n = -24 + -4n + 4n

Combine like terms: -4n + 4n = 0
36 + 10n = -24 + 0
36 + 10n = -24

Add '-36' to each side of the equation.
36 + -36 + 10n = -24 + -36

Combine like terms: 36 + -36 = 0
0 + 10n = -24 + -36
10n = -24 + -36

Combine like terms: -24 + -36 = -60
10n = -60

Divide each side by '10'.
n = -6

Simplifying
n = -6

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