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

Solution for 6-(3m-3)-[2-(4m-1)]=-(-3m+2) equation:

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

Reorder the terms:
6 + -1(-3 + 3m) + -1[2 + -1(4m + -1)] = -1(-3m + 2)
6 + (-3 * -1 + 3m * -1) + -1[2 + -1(4m + -1)] = -1(-3m + 2)
6 + (3 + -3m) + -1[2 + -1(4m + -1)] = -1(-3m + 2)

Reorder the terms:
6 + 3 + -3m + -1[2 + -1(-1 + 4m)] = -1(-3m + 2)
6 + 3 + -3m + -1[2 + (-1 * -1 + 4m * -1)] = -1(-3m + 2)
6 + 3 + -3m + -1[2 + (1 + -4m)] = -1(-3m + 2)

Combine like terms: 2 + 1 = 3
6 + 3 + -3m + -1[3 + -4m] = -1(-3m + 2)
6 + 3 + -3m + [3 * -1 + -4m * -1] = -1(-3m + 2)
6 + 3 + -3m + [-3 + 4m] = -1(-3m + 2)

Reorder the terms:
6 + 3 + -3 + -3m + 4m = -1(-3m + 2)

Combine like terms: 6 + 3 = 9
9 + -3 + -3m + 4m = -1(-3m + 2)

Combine like terms: 9 + -3 = 6
6 + -3m + 4m = -1(-3m + 2)

Combine like terms: -3m + 4m = 1m
6 + 1m = -1(-3m + 2)

Reorder the terms:
6 + 1m = -1(2 + -3m)
6 + 1m = (2 * -1 + -3m * -1)
6 + 1m = (-2 + 3m)

Solving
6 + 1m = -2 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.
6 + 1m + -3m = -2 + 3m + -3m

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

Combine like terms: 3m + -3m = 0
6 + -2m = -2 + 0
6 + -2m = -2

Add '-6' to each side of the equation.
6 + -6 + -2m = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = -2 + -6
-2m = -2 + -6

Combine like terms: -2 + -6 = -8
-2m = -8

Divide each side by '-2'.
m = 4

Simplifying
m = 4