14=8(n-2)-10(1-n)

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Solution for 14=8(n-2)-10(1-n) equation: 


Simplifying
14 = 8(n + -2) + -10(1 + -1n)

Reorder the terms:
14 = 8(-2 + n) + -10(1 + -1n)
14 = (-2 * 8 + n * 8) + -10(1 + -1n)
14 = (-16 + 8n) + -10(1 + -1n)
14 = -16 + 8n + (1 * -10 + -1n * -10)
14 = -16 + 8n + (-10 + 10n)

Reorder the terms:
14 = -16 + -10 + 8n + 10n

Combine like terms: -16 + -10 = -26
14 = -26 + 8n + 10n

Combine like terms: 8n + 10n = 18n
14 = -26 + 18n

Solving
14 = -26 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
14 + -18n = -26 + 18n + -18n

Combine like terms: 18n + -18n = 0
14 + -18n = -26 + 0
14 + -18n = -26

Add '-14' to each side of the equation.
14 + -14 + -18n = -26 + -14

Combine like terms: 14 + -14 = 0
0 + -18n = -26 + -14
-18n = -26 + -14

Combine like terms: -26 + -14 = -40
-18n = -40

Divide each side by '-18'.
n = 2.222222222

Simplifying
n = 2.222222222

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