3[3m-2(3-m)-4]=6m-4

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


Simplifying
3[3m + -2(3 + -1m) + -4] = 6m + -4
3[3m + (3 * -2 + -1m * -2) + -4] = 6m + -4
3[3m + (-6 + 2m) + -4] = 6m + -4

Reorder the terms:
3[-6 + -4 + 3m + 2m] = 6m + -4

Combine like terms: -6 + -4 = -10
3[-10 + 3m + 2m] = 6m + -4

Combine like terms: 3m + 2m = 5m
3[-10 + 5m] = 6m + -4
[-10 * 3 + 5m * 3] = 6m + -4
[-30 + 15m] = 6m + -4

Reorder the terms:
-30 + 15m = -4 + 6m

Solving
-30 + 15m = -4 + 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.
-30 + 15m + -6m = -4 + 6m + -6m

Combine like terms: 15m + -6m = 9m
-30 + 9m = -4 + 6m + -6m

Combine like terms: 6m + -6m = 0
-30 + 9m = -4 + 0
-30 + 9m = -4

Add '30' to each side of the equation.
-30 + 30 + 9m = -4 + 30

Combine like terms: -30 + 30 = 0
0 + 9m = -4 + 30
9m = -4 + 30

Combine like terms: -4 + 30 = 26
9m = 26

Divide each side by '9'.
m = 2.888888889

Simplifying
m = 2.888888889

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