8+5n-3=9n+13-6n

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Solution for 8+5n-3=9n+13-6n equation: 


Simplifying
8 + 5n + -3 = 9n + 13 + -6n

Reorder the terms:
8 + -3 + 5n = 9n + 13 + -6n

Combine like terms: 8 + -3 = 5
5 + 5n = 9n + 13 + -6n

Reorder the terms:
5 + 5n = 13 + 9n + -6n

Combine like terms: 9n + -6n = 3n
5 + 5n = 13 + 3n

Solving
5 + 5n = 13 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
5 + 5n + -3n = 13 + 3n + -3n

Combine like terms: 5n + -3n = 2n
5 + 2n = 13 + 3n + -3n

Combine like terms: 3n + -3n = 0
5 + 2n = 13 + 0
5 + 2n = 13

Add '-5' to each side of the equation.
5 + -5 + 2n = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = 13 + -5
2n = 13 + -5

Combine like terms: 13 + -5 = 8
2n = 8

Divide each side by '2'.
n = 4

Simplifying
n = 4

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