7m+8=2m-22

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Solution for 7m+8=2m-22 equation:


Simplifying
7m + 8 = 2m + -22

Reorder the terms:
8 + 7m = 2m + -22

Reorder the terms:
8 + 7m = -22 + 2m

Solving
8 + 7m = -22 + 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.
8 + 7m + -2m = -22 + 2m + -2m

Combine like terms: 7m + -2m = 5m
8 + 5m = -22 + 2m + -2m

Combine like terms: 2m + -2m = 0
8 + 5m = -22 + 0
8 + 5m = -22

Add '-8' to each side of the equation.
8 + -8 + 5m = -22 + -8

Combine like terms: 8 + -8 = 0
0 + 5m = -22 + -8
5m = -22 + -8

Combine like terms: -22 + -8 = -30
5m = -30

Divide each side by '5'.
m = -6

Simplifying
m = -6

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