6(m-1)=3(-3m-5)

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


Simplifying
6(m + -1) = 3(-3m + -5)

Reorder the terms:
6(-1 + m) = 3(-3m + -5)
(-1 * 6 + m * 6) = 3(-3m + -5)
(-6 + 6m) = 3(-3m + -5)

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

Solving
-6 + 6m = -15 + -9m

Solving for variable 'm'.

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

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

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

Combine like terms: -9m + 9m = 0
-6 + 15m = -15 + 0
-6 + 15m = -15

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

Combine like terms: -6 + 6 = 0
0 + 15m = -15 + 6
15m = -15 + 6

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

Divide each side by '15'.
m = -0.6

Simplifying
m = -0.6

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