3m+4=7m-13

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Solution for 3m+4=7m-13 equation:


Simplifying
3m + 4 = 7m + -13

Reorder the terms:
4 + 3m = 7m + -13

Reorder the terms:
4 + 3m = -13 + 7m

Solving
4 + 3m = -13 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
4 + 3m + -7m = -13 + 7m + -7m

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

Combine like terms: 7m + -7m = 0
4 + -4m = -13 + 0
4 + -4m = -13

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

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

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

Divide each side by '-4'.
m = 4.25

Simplifying
m = 4.25

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