3(-2m+5)=4m+9-m

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Solution for 3(-2m+5)=4m+9-m equation:


Simplifying
3(-2m + 5) = 4m + 9 + -1m

Reorder the terms:
3(5 + -2m) = 4m + 9 + -1m
(5 * 3 + -2m * 3) = 4m + 9 + -1m
(15 + -6m) = 4m + 9 + -1m

Reorder the terms:
15 + -6m = 9 + 4m + -1m

Combine like terms: 4m + -1m = 3m
15 + -6m = 9 + 3m

Solving
15 + -6m = 9 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
15 + -6m + -3m = 9 + 3m + -3m

Combine like terms: -6m + -3m = -9m
15 + -9m = 9 + 3m + -3m

Combine like terms: 3m + -3m = 0
15 + -9m = 9 + 0
15 + -9m = 9

Add '-15' to each side of the equation.
15 + -15 + -9m = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -9m = 9 + -15
-9m = 9 + -15

Combine like terms: 9 + -15 = -6
-9m = -6

Divide each side by '-9'.
m = 0.6666666667

Simplifying
m = 0.6666666667

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