10-(8-8n)+10n=-4+12(n+1)

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Solution for 10-(8-8n)+10n=-4+12(n+1) equation: 


Simplifying
10 + -1(8 + -8n) + 10n = -4 + 12(n + 1)
10 + (8 * -1 + -8n * -1) + 10n = -4 + 12(n + 1)
10 + (-8 + 8n) + 10n = -4 + 12(n + 1)

Combine like terms: 10 + -8 = 2
2 + 8n + 10n = -4 + 12(n + 1)

Combine like terms: 8n + 10n = 18n
2 + 18n = -4 + 12(n + 1)

Reorder the terms:
2 + 18n = -4 + 12(1 + n)
2 + 18n = -4 + (1 * 12 + n * 12)
2 + 18n = -4 + (12 + 12n)

Combine like terms: -4 + 12 = 8
2 + 18n = 8 + 12n

Solving
2 + 18n = 8 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
2 + 18n + -12n = 8 + 12n + -12n

Combine like terms: 18n + -12n = 6n
2 + 6n = 8 + 12n + -12n

Combine like terms: 12n + -12n = 0
2 + 6n = 8 + 0
2 + 6n = 8

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

Combine like terms: 2 + -2 = 0
0 + 6n = 8 + -2
6n = 8 + -2

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

Divide each side by '6'.
n = 1

Simplifying
n = 1

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