7m+13=4m-17

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Solution for 7m+13=4m-17 equation: 


Simplifying
7m + 13 = 4m + -17

Reorder the terms:
13 + 7m = 4m + -17

Reorder the terms:
13 + 7m = -17 + 4m

Solving
13 + 7m = -17 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
13 + 7m + -4m = -17 + 4m + -4m

Combine like terms: 7m + -4m = 3m
13 + 3m = -17 + 4m + -4m

Combine like terms: 4m + -4m = 0
13 + 3m = -17 + 0
13 + 3m = -17

Add '-13' to each side of the equation.
13 + -13 + 3m = -17 + -13

Combine like terms: 13 + -13 = 0
0 + 3m = -17 + -13
3m = -17 + -13

Combine like terms: -17 + -13 = -30
3m = -30

Divide each side by '3'.
m = -10

Simplifying
m = -10

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