96=2n-7(n-8)

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Solution for 96=2n-7(n-8) equation:


Simplifying
96 = 2n + -7(n + -8)

Reorder the terms:
96 = 2n + -7(-8 + n)
96 = 2n + (-8 * -7 + n * -7)
96 = 2n + (56 + -7n)

Reorder the terms:
96 = 56 + 2n + -7n

Combine like terms: 2n + -7n = -5n
96 = 56 + -5n

Solving
96 = 56 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
96 + 5n = 56 + -5n + 5n

Combine like terms: -5n + 5n = 0
96 + 5n = 56 + 0
96 + 5n = 56

Add '-96' to each side of the equation.
96 + -96 + 5n = 56 + -96

Combine like terms: 96 + -96 = 0
0 + 5n = 56 + -96
5n = 56 + -96

Combine like terms: 56 + -96 = -40
5n = -40

Divide each side by '5'.
n = -8

Simplifying
n = -8

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