n(10)-113=n(6)-9

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Solution for n(10)-113=n(6)-9 equation:


Simplifying
n(10) + -113 = n(6) + -9

Reorder the terms for easier multiplication:
10n + -113 = n(6) + -9

Reorder the terms:
-113 + 10n = n(6) + -9

Reorder the terms for easier multiplication:
-113 + 10n = 6n + -9

Reorder the terms:
-113 + 10n = -9 + 6n

Solving
-113 + 10n = -9 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-113 + 10n + -6n = -9 + 6n + -6n

Combine like terms: 10n + -6n = 4n
-113 + 4n = -9 + 6n + -6n

Combine like terms: 6n + -6n = 0
-113 + 4n = -9 + 0
-113 + 4n = -9

Add '113' to each side of the equation.
-113 + 113 + 4n = -9 + 113

Combine like terms: -113 + 113 = 0
0 + 4n = -9 + 113
4n = -9 + 113

Combine like terms: -9 + 113 = 104
4n = 104

Divide each side by '4'.
n = 26

Simplifying
n = 26

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