2(3m-6)=3(1m-8)+45

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Solution for 2(3m-6)=3(1m-8)+45 equation: 


Simplifying
2(3m + -6) = 3(1m + -8) + 45

Reorder the terms:
2(-6 + 3m) = 3(1m + -8) + 45
(-6 * 2 + 3m * 2) = 3(1m + -8) + 45
(-12 + 6m) = 3(1m + -8) + 45

Reorder the terms:
-12 + 6m = 3(-8 + 1m) + 45
-12 + 6m = (-8 * 3 + 1m * 3) + 45
-12 + 6m = (-24 + 3m) + 45

Reorder the terms:
-12 + 6m = -24 + 45 + 3m

Combine like terms: -24 + 45 = 21
-12 + 6m = 21 + 3m

Solving
-12 + 6m = 21 + 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.
-12 + 6m + -3m = 21 + 3m + -3m

Combine like terms: 6m + -3m = 3m
-12 + 3m = 21 + 3m + -3m

Combine like terms: 3m + -3m = 0
-12 + 3m = 21 + 0
-12 + 3m = 21

Add '12' to each side of the equation.
-12 + 12 + 3m = 21 + 12

Combine like terms: -12 + 12 = 0
0 + 3m = 21 + 12
3m = 21 + 12

Combine like terms: 21 + 12 = 33
3m = 33

Divide each side by '3'.
m = 11

Simplifying
m = 11

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