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

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


Simplifying
3(3 + -1m) = 2(3m + 3)
(3 * 3 + -1m * 3) = 2(3m + 3)
(9 + -3m) = 2(3m + 3)

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

Solving
9 + -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.
9 + -3m + -6m = 6 + 6m + -6m

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

Combine like terms: 6m + -6m = 0
9 + -9m = 6 + 0
9 + -9m = 6

Add '-9' to each side of the equation.
9 + -9 + -9m = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -9m = 6 + -9
-9m = 6 + -9

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

Divide each side by '-9'.
m = 0.3333333333

Simplifying
m = 0.3333333333

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