6m-3-9(1+m)=3(5m-4)

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Solution for 6m-3-9(1+m)=3(5m-4) equation: 


Simplifying
6m + -3 + -9(1 + m) = 3(5m + -4)
6m + -3 + (1 * -9 + m * -9) = 3(5m + -4)
6m + -3 + (-9 + -9m) = 3(5m + -4)

Reorder the terms:
-3 + -9 + 6m + -9m = 3(5m + -4)

Combine like terms: -3 + -9 = -12
-12 + 6m + -9m = 3(5m + -4)

Combine like terms: 6m + -9m = -3m
-12 + -3m = 3(5m + -4)

Reorder the terms:
-12 + -3m = 3(-4 + 5m)
-12 + -3m = (-4 * 3 + 5m * 3)
-12 + -3m = (-12 + 15m)

Add '12' to each side of the equation.
-12 + 12 + -3m = -12 + 12 + 15m

Combine like terms: -12 + 12 = 0
0 + -3m = -12 + 12 + 15m
-3m = -12 + 12 + 15m

Combine like terms: -12 + 12 = 0
-3m = 0 + 15m
-3m = 15m

Solving
-3m = 15m

Solving for variable 'm'.

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

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

Combine like terms: -3m + -15m = -18m
-18m = 15m + -15m

Combine like terms: 15m + -15m = 0
-18m = 0

Divide each side by '-18'.
m = 0

Simplifying
m = 0

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