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

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


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

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

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

Combine like terms: 3m + 2m = 5m
2[-10 + 5m] = 6m + -4
[-10 * 2 + 5m * 2] = 6m + -4
[-20 + 10m] = 6m + -4

Reorder the terms:
-20 + 10m = -4 + 6m

Solving
-20 + 10m = -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.
-20 + 10m + -6m = -4 + 6m + -6m

Combine like terms: 10m + -6m = 4m
-20 + 4m = -4 + 6m + -6m

Combine like terms: 6m + -6m = 0
-20 + 4m = -4 + 0
-20 + 4m = -4

Add '20' to each side of the equation.
-20 + 20 + 4m = -4 + 20

Combine like terms: -20 + 20 = 0
0 + 4m = -4 + 20
4m = -4 + 20

Combine like terms: -4 + 20 = 16
4m = 16

Divide each side by '4'.
m = 4

Simplifying
m = 4

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