96=7(n+8)-2

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


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

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

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

Combine like terms: 56 + -2 = 54
96 = 54 + 7n

Solving
96 = 54 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
96 + -7n = 54 + 7n + -7n

Combine like terms: 7n + -7n = 0
96 + -7n = 54 + 0
96 + -7n = 54

Add '-96' to each side of the equation.
96 + -96 + -7n = 54 + -96

Combine like terms: 96 + -96 = 0
0 + -7n = 54 + -96
-7n = 54 + -96

Combine like terms: 54 + -96 = -42
-7n = -42

Divide each side by '-7'.
n = 6

Simplifying
n = 6

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