96=2n-5(2n-8)

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Solution for 96=2n-5(2n-8) equation:


Simplifying
96 = 2n + -5(2n + -8)

Reorder the terms:
96 = 2n + -5(-8 + 2n)
96 = 2n + (-8 * -5 + 2n * -5)
96 = 2n + (40 + -10n)

Reorder the terms:
96 = 40 + 2n + -10n

Combine like terms: 2n + -10n = -8n
96 = 40 + -8n

Solving
96 = 40 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
96 + 8n = 40 + -8n + 8n

Combine like terms: -8n + 8n = 0
96 + 8n = 40 + 0
96 + 8n = 40

Add '-96' to each side of the equation.
96 + -96 + 8n = 40 + -96

Combine like terms: 96 + -96 = 0
0 + 8n = 40 + -96
8n = 40 + -96

Combine like terms: 40 + -96 = -56
8n = -56

Divide each side by '8'.
n = -7

Simplifying
n = -7

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