7+3m-5=9m+22-2m

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Solution for 7+3m-5=9m+22-2m equation:


Simplifying
7 + 3m + -5 = 9m + 22 + -2m

Reorder the terms:
7 + -5 + 3m = 9m + 22 + -2m

Combine like terms: 7 + -5 = 2
2 + 3m = 9m + 22 + -2m

Reorder the terms:
2 + 3m = 22 + 9m + -2m

Combine like terms: 9m + -2m = 7m
2 + 3m = 22 + 7m

Solving
2 + 3m = 22 + 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.
2 + 3m + -7m = 22 + 7m + -7m

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

Combine like terms: 7m + -7m = 0
2 + -4m = 22 + 0
2 + -4m = 22

Add '-2' to each side of the equation.
2 + -2 + -4m = 22 + -2

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

Combine like terms: 22 + -2 = 20
-4m = 20

Divide each side by '-4'.
m = -5

Simplifying
m = -5

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