3m-6=2(3m+4)

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Solution for 3m-6=2(3m+4) equation:


Simplifying
3m + -6 = 2(3m + 4)

Reorder the terms:
-6 + 3m = 2(3m + 4)

Reorder the terms:
-6 + 3m = 2(4 + 3m)
-6 + 3m = (4 * 2 + 3m * 2)
-6 + 3m = (8 + 6m)

Solving
-6 + 3m = 8 + 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.
-6 + 3m + -6m = 8 + 6m + -6m

Combine like terms: 3m + -6m = -3m
-6 + -3m = 8 + 6m + -6m

Combine like terms: 6m + -6m = 0
-6 + -3m = 8 + 0
-6 + -3m = 8

Add '6' to each side of the equation.
-6 + 6 + -3m = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -3m = 8 + 6
-3m = 8 + 6

Combine like terms: 8 + 6 = 14
-3m = 14

Divide each side by '-3'.
m = -4.666666667

Simplifying
m = -4.666666667

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