4m+7=9m-13

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Solution for 4m+7=9m-13 equation:


Simplifying
4m + 7 = 9m + -13

Reorder the terms:
7 + 4m = 9m + -13

Reorder the terms:
7 + 4m = -13 + 9m

Solving
7 + 4m = -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.
7 + 4m + -9m = -13 + 9m + -9m

Combine like terms: 4m + -9m = -5m
7 + -5m = -13 + 9m + -9m

Combine like terms: 9m + -9m = 0
7 + -5m = -13 + 0
7 + -5m = -13

Add '-7' to each side of the equation.
7 + -7 + -5m = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -5m = -13 + -7
-5m = -13 + -7

Combine like terms: -13 + -7 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4

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