7-3m=-6m+13

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Solution for 7-3m=-6m+13 equation:


Simplifying
7 + -3m = -6m + 13

Reorder the terms:
7 + -3m = 13 + -6m

Solving
7 + -3m = 13 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
7 + -3m + 6m = 13 + -6m + 6m

Combine like terms: -3m + 6m = 3m
7 + 3m = 13 + -6m + 6m

Combine like terms: -6m + 6m = 0
7 + 3m = 13 + 0
7 + 3m = 13

Add '-7' to each side of the equation.
7 + -7 + 3m = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 3m = 13 + -7
3m = 13 + -7

Combine like terms: 13 + -7 = 6
3m = 6

Divide each side by '3'.
m = 2

Simplifying
m = 2

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