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

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


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

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

Combine like terms: 6m + -5m = 1m
-13 + 1m = 3m + 5

Reorder the terms:
-13 + 1m = 5 + 3m

Solving
-13 + 1m = 5 + 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.
-13 + 1m + -3m = 5 + 3m + -3m

Combine like terms: 1m + -3m = -2m
-13 + -2m = 5 + 3m + -3m

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

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

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

Combine like terms: 5 + 13 = 18
-2m = 18

Divide each side by '-2'.
m = -9

Simplifying
m = -9

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