7+4m-5=9m+10-3m

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Solution for 7+4m-5=9m+10-3m equation:


Simplifying
7 + 4m + -5 = 9m + 10 + -3m

Reorder the terms:
7 + -5 + 4m = 9m + 10 + -3m

Combine like terms: 7 + -5 = 2
2 + 4m = 9m + 10 + -3m

Reorder the terms:
2 + 4m = 10 + 9m + -3m

Combine like terms: 9m + -3m = 6m
2 + 4m = 10 + 6m

Solving
2 + 4m = 10 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
2 + 4m + -6m = 10 + 6m + -6m

Combine like terms: 4m + -6m = -2m
2 + -2m = 10 + 6m + -6m

Combine like terms: 6m + -6m = 0
2 + -2m = 10 + 0
2 + -2m = 10

Add '-2' to each side of the equation.
2 + -2 + -2m = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -2m = 10 + -2
-2m = 10 + -2

Combine like terms: 10 + -2 = 8
-2m = 8

Divide each side by '-2'.
m = -4

Simplifying
m = -4

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