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

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


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

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

Reorder the terms:
-9 + m = -2m + 3(-3 + 4m)
-9 + m = -2m + (-3 * 3 + 4m * 3)
-9 + m = -2m + (-9 + 12m)

Reorder the terms:
-9 + m = -9 + -2m + 12m

Combine like terms: -2m + 12m = 10m
-9 + m = -9 + 10m

Add '9' to each side of the equation.
-9 + 9 + m = -9 + 9 + 10m

Combine like terms: -9 + 9 = 0
0 + m = -9 + 9 + 10m
m = -9 + 9 + 10m

Combine like terms: -9 + 9 = 0
m = 0 + 10m
m = 10m

Solving
m = 10m

Solving for variable 'm'.

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

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

Combine like terms: m + -10m = -9m
-9m = 10m + -10m

Combine like terms: 10m + -10m = 0
-9m = 0

Divide each side by '-9'.
m = 0

Simplifying
m = 0

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