2(6m-3)=3(3m-6)

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Solution for 2(6m-3)=3(3m-6) equation:


Simplifying
2(6m + -3) = 3(3m + -6)

Reorder the terms:
2(-3 + 6m) = 3(3m + -6)
(-3 * 2 + 6m * 2) = 3(3m + -6)
(-6 + 12m) = 3(3m + -6)

Reorder the terms:
-6 + 12m = 3(-6 + 3m)
-6 + 12m = (-6 * 3 + 3m * 3)
-6 + 12m = (-18 + 9m)

Solving
-6 + 12m = -18 + 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 + 12m + -9m = -18 + 9m + -9m

Combine like terms: 12m + -9m = 3m
-6 + 3m = -18 + 9m + -9m

Combine like terms: 9m + -9m = 0
-6 + 3m = -18 + 0
-6 + 3m = -18

Add '6' to each side of the equation.
-6 + 6 + 3m = -18 + 6

Combine like terms: -6 + 6 = 0
0 + 3m = -18 + 6
3m = -18 + 6

Combine like terms: -18 + 6 = -12
3m = -12

Divide each side by '3'.
m = -4

Simplifying
m = -4

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