2m+4=7m-6

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Solution for 2m+4=7m-6 equation:


Simplifying
2m + 4 = 7m + -6

Reorder the terms:
4 + 2m = 7m + -6

Reorder the terms:
4 + 2m = -6 + 7m

Solving
4 + 2m = -6 + 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 + 2m + -7m = -6 + 7m + -7m

Combine like terms: 2m + -7m = -5m
4 + -5m = -6 + 7m + -7m

Combine like terms: 7m + -7m = 0
4 + -5m = -6 + 0
4 + -5m = -6

Add '-4' to each side of the equation.
4 + -4 + -5m = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -5m = -6 + -4
-5m = -6 + -4

Combine like terms: -6 + -4 = -10
-5m = -10

Divide each side by '-5'.
m = 2

Simplifying
m = 2

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