7m-2=4m+22

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Solution for 7m-2=4m+22 equation:


Simplifying
7m + -2 = 4m + 22

Reorder the terms:
-2 + 7m = 4m + 22

Reorder the terms:
-2 + 7m = 22 + 4m

Solving
-2 + 7m = 22 + 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.
-2 + 7m + -4m = 22 + 4m + -4m

Combine like terms: 7m + -4m = 3m
-2 + 3m = 22 + 4m + -4m

Combine like terms: 4m + -4m = 0
-2 + 3m = 22 + 0
-2 + 3m = 22

Add '2' to each side of the equation.
-2 + 2 + 3m = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 3m = 22 + 2
3m = 22 + 2

Combine like terms: 22 + 2 = 24
3m = 24

Divide each side by '3'.
m = 8

Simplifying
m = 8

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