-3(m+6)-6m=3m+2(6+9m)

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Solution for -3(m+6)-6m=3m+2(6+9m) equation: 


Simplifying
-3(m + 6) + -6m = 3m + 2(6 + 9m)

Reorder the terms:
-3(6 + m) + -6m = 3m + 2(6 + 9m)
(6 * -3 + m * -3) + -6m = 3m + 2(6 + 9m)
(-18 + -3m) + -6m = 3m + 2(6 + 9m)

Combine like terms: -3m + -6m = -9m
-18 + -9m = 3m + 2(6 + 9m)
-18 + -9m = 3m + (6 * 2 + 9m * 2)
-18 + -9m = 3m + (12 + 18m)

Reorder the terms:
-18 + -9m = 12 + 3m + 18m

Combine like terms: 3m + 18m = 21m
-18 + -9m = 12 + 21m

Solving
-18 + -9m = 12 + 21m

Solving for variable 'm'.

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

Add '-21m' to each side of the equation.
-18 + -9m + -21m = 12 + 21m + -21m

Combine like terms: -9m + -21m = -30m
-18 + -30m = 12 + 21m + -21m

Combine like terms: 21m + -21m = 0
-18 + -30m = 12 + 0
-18 + -30m = 12

Add '18' to each side of the equation.
-18 + 18 + -30m = 12 + 18

Combine like terms: -18 + 18 = 0
0 + -30m = 12 + 18
-30m = 12 + 18

Combine like terms: 12 + 18 = 30
-30m = 30

Divide each side by '-30'.
m = -1

Simplifying
m = -1

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