6+5m-3=9m+13-6m

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


Simplifying
6 + 5m + -3 = 9m + 13 + -6m

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

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

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

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

Solving
3 + 5m = 13 + 3m

Solving for variable 'm'.

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

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

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

Combine like terms: 3m + -3m = 0
3 + 2m = 13 + 0
3 + 2m = 13

Add '-3' to each side of the equation.
3 + -3 + 2m = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = 13 + -3
2m = 13 + -3

Combine like terms: 13 + -3 = 10
2m = 10

Divide each side by '2'.
m = 5

Simplifying
m = 5

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