3(m-4)=6m+6

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


Simplifying
3(m + -4) = 6m + 6

Reorder the terms:
3(-4 + m) = 6m + 6
(-4 * 3 + m * 3) = 6m + 6
(-12 + 3m) = 6m + 6

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

Solving
-12 + 3m = 6 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-12 + 3m + -6m = 6 + 6m + -6m

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

Combine like terms: 6m + -6m = 0
-12 + -3m = 6 + 0
-12 + -3m = 6

Add '12' to each side of the equation.
-12 + 12 + -3m = 6 + 12

Combine like terms: -12 + 12 = 0
0 + -3m = 6 + 12
-3m = 6 + 12

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

Divide each side by '-3'.
m = -6

Simplifying
m = -6

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