3m+13=7m-3

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


Simplifying
3m + 13 = 7m + -3

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

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

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

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

Combine like terms: 7m + -7m = 0
13 + -4m = -3 + 0
13 + -4m = -3

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

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

Combine like terms: -3 + -13 = -16
-4m = -16

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

Simplifying
m = 4

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