2(n-8)=12+10(n-10)

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Solution for 2(n-8)=12+10(n-10) equation: 


Simplifying
2(n + -8) = 12 + 10(n + -10)

Reorder the terms:
2(-8 + n) = 12 + 10(n + -10)
(-8 * 2 + n * 2) = 12 + 10(n + -10)
(-16 + 2n) = 12 + 10(n + -10)

Reorder the terms:
-16 + 2n = 12 + 10(-10 + n)
-16 + 2n = 12 + (-10 * 10 + n * 10)
-16 + 2n = 12 + (-100 + 10n)

Combine like terms: 12 + -100 = -88
-16 + 2n = -88 + 10n

Solving
-16 + 2n = -88 + 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.
-16 + 2n + -10n = -88 + 10n + -10n

Combine like terms: 2n + -10n = -8n
-16 + -8n = -88 + 10n + -10n

Combine like terms: 10n + -10n = 0
-16 + -8n = -88 + 0
-16 + -8n = -88

Add '16' to each side of the equation.
-16 + 16 + -8n = -88 + 16

Combine like terms: -16 + 16 = 0
0 + -8n = -88 + 16
-8n = -88 + 16

Combine like terms: -88 + 16 = -72
-8n = -72

Divide each side by '-8'.
n = 9

Simplifying
n = 9

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