11n+13=5n-9

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Solution for 11n+13=5n-9 equation:


Simplifying
11n + 13 = 5n + -9

Reorder the terms:
13 + 11n = 5n + -9

Reorder the terms:
13 + 11n = -9 + 5n

Solving
13 + 11n = -9 + 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.
13 + 11n + -5n = -9 + 5n + -5n

Combine like terms: 11n + -5n = 6n
13 + 6n = -9 + 5n + -5n

Combine like terms: 5n + -5n = 0
13 + 6n = -9 + 0
13 + 6n = -9

Add '-13' to each side of the equation.
13 + -13 + 6n = -9 + -13

Combine like terms: 13 + -13 = 0
0 + 6n = -9 + -13
6n = -9 + -13

Combine like terms: -9 + -13 = -22
6n = -22

Divide each side by '6'.
n = -3.666666667

Simplifying
n = -3.666666667

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