9+9m-6=7m+31-2m

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Solution for 9+9m-6=7m+31-2m equation:


Simplifying
9 + 9m + -6 = 7m + 31 + -2m

Reorder the terms:
9 + -6 + 9m = 7m + 31 + -2m

Combine like terms: 9 + -6 = 3
3 + 9m = 7m + 31 + -2m

Reorder the terms:
3 + 9m = 31 + 7m + -2m

Combine like terms: 7m + -2m = 5m
3 + 9m = 31 + 5m

Solving
3 + 9m = 31 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
3 + 9m + -5m = 31 + 5m + -5m

Combine like terms: 9m + -5m = 4m
3 + 4m = 31 + 5m + -5m

Combine like terms: 5m + -5m = 0
3 + 4m = 31 + 0
3 + 4m = 31

Add '-3' to each side of the equation.
3 + -3 + 4m = 31 + -3

Combine like terms: 3 + -3 = 0
0 + 4m = 31 + -3
4m = 31 + -3

Combine like terms: 31 + -3 = 28
4m = 28

Divide each side by '4'.
m = 7

Simplifying
m = 7

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