6+9n-5=7n+13-2n

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Solution for 6+9n-5=7n+13-2n equation: 


Simplifying
6 + 9n + -5 = 7n + 13 + -2n

Reorder the terms:
6 + -5 + 9n = 7n + 13 + -2n

Combine like terms: 6 + -5 = 1
1 + 9n = 7n + 13 + -2n

Reorder the terms:
1 + 9n = 13 + 7n + -2n

Combine like terms: 7n + -2n = 5n
1 + 9n = 13 + 5n

Solving
1 + 9n = 13 + 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.
1 + 9n + -5n = 13 + 5n + -5n

Combine like terms: 9n + -5n = 4n
1 + 4n = 13 + 5n + -5n

Combine like terms: 5n + -5n = 0
1 + 4n = 13 + 0
1 + 4n = 13

Add '-1' to each side of the equation.
1 + -1 + 4n = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 4n = 13 + -1
4n = 13 + -1

Combine like terms: 13 + -1 = 12
4n = 12

Divide each side by '4'.
n = 3

Simplifying
n = 3

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