7m-4=2m-14

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Solution for 7m-4=2m-14 equation:


Simplifying
7m + -4 = 2m + -14

Reorder the terms:
-4 + 7m = 2m + -14

Reorder the terms:
-4 + 7m = -14 + 2m

Solving
-4 + 7m = -14 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-4 + 7m + -2m = -14 + 2m + -2m

Combine like terms: 7m + -2m = 5m
-4 + 5m = -14 + 2m + -2m

Combine like terms: 2m + -2m = 0
-4 + 5m = -14 + 0
-4 + 5m = -14

Add '4' to each side of the equation.
-4 + 4 + 5m = -14 + 4

Combine like terms: -4 + 4 = 0
0 + 5m = -14 + 4
5m = -14 + 4

Combine like terms: -14 + 4 = -10
5m = -10

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

Simplifying
m = -2

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