n*11-96=(n*5)-6

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Solution for n*11-96=(n*5)-6 equation:


Simplifying
n * 11 + -96 = (n * 5) + -6

Reorder the terms for easier multiplication:
11n + -96 = (n * 5) + -6

Reorder the terms:
-96 + 11n = (n * 5) + -6

Reorder the terms for easier multiplication:
-96 + 11n = (5n) + -6

Reorder the terms:
-96 + 11n = -6 + (5n)

Solving
-96 + 11n = -6 + (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 + 11n + (-5n) = -6 + (5n) + (-5n)

Combine like terms: 11n + (-5n) = 6n
-96 + 6n = -6 + (5n) + (-5n)

Combine like terms: (5n) + (-5n) = 0
-96 + 6n = -6 + 0
-96 + 6n = -6

Add '96' to each side of the equation.
-96 + 96 + 6n = -6 + 96

Combine like terms: -96 + 96 = 0
0 + 6n = -6 + 96
6n = -6 + 96

Combine like terms: -6 + 96 = 90
6n = 90

Divide each side by '6'.
n = 15

Simplifying
n = 15

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