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

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


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

Remove parenthesis around (8 + 8n)
-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 = 16
4n = 16

Divide each side by '4'.
n = 4

Simplifying
n = 4

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