6m-5=9m-13

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


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

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

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

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

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
-5 + 6m + -9m = -13 + 9m + -9m

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

Combine like terms: 9m + -9m = 0
-5 + -3m = -13 + 0
-5 + -3m = -13

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

Combine like terms: -5 + 5 = 0
0 + -3m = -13 + 5
-3m = -13 + 5

Combine like terms: -13 + 5 = -8
-3m = -8

Divide each side by '-3'.
m = 2.666666667

Simplifying
m = 2.666666667

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