-10n+-(8-8n)=-6(n-4)

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Solution for -10n+-(8-8n)=-6(n-4) equation:


Simplifying
-10n + -1(8 + -8n) = -6(n + -4)
-10n + (8 * -1 + -8n * -1) = -6(n + -4)
-10n + (-8 + 8n) = -6(n + -4)

Reorder the terms:
-8 + -10n + 8n = -6(n + -4)

Combine like terms: -10n + 8n = -2n
-8 + -2n = -6(n + -4)

Reorder the terms:
-8 + -2n = -6(-4 + n)
-8 + -2n = (-4 * -6 + n * -6)
-8 + -2n = (24 + -6n)

Solving
-8 + -2n = 24 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-8 + -2n + 6n = 24 + -6n + 6n

Combine like terms: -2n + 6n = 4n
-8 + 4n = 24 + -6n + 6n

Combine like terms: -6n + 6n = 0
-8 + 4n = 24 + 0
-8 + 4n = 24

Add '8' to each side of the equation.
-8 + 8 + 4n = 24 + 8

Combine like terms: -8 + 8 = 0
0 + 4n = 24 + 8
4n = 24 + 8

Combine like terms: 24 + 8 = 32
4n = 32

Divide each side by '4'.
n = 8

Simplifying
n = 8

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