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

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


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

Combine like terms: 3 + -2 = 1
3(1) = 2(3m + 6)

Multiply 3 * 1
3 = 2(3m + 6)

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

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

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

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

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

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

Divide each side by '-6'.
m = -1.5

Simplifying
m = -1.5

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