-z-6z+3=4-[6-2-(3-2z)]

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

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

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

Combine like terms: -1z + -6z = -7z
3 + -7z = 4 + -1[6 + -2 + -1(3 + -2z)]
3 + -7z = 4 + -1[6 + -2 + (3 * -1 + -2z * -1)]
3 + -7z = 4 + -1[6 + -2 + (-3 + 2z)]

Combine like terms: 6 + -2 = 4
3 + -7z = 4 + -1[4 + -3 + 2z]

Combine like terms: 4 + -3 = 1
3 + -7z = 4 + -1[1 + 2z]
3 + -7z = 4 + [1 * -1 + 2z * -1]
3 + -7z = 4 + [-1 + -2z]

Combine like terms: 4 + -1 = 3
3 + -7z = 3 + -2z

Add '-3' to each side of the equation.
3 + -3 + -7z = 3 + -3 + -2z

Combine like terms: 3 + -3 = 0
0 + -7z = 3 + -3 + -2z
-7z = 3 + -3 + -2z

Combine like terms: 3 + -3 = 0
-7z = 0 + -2z
-7z = -2z

Solving
-7z = -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-7z + 2z = -2z + 2z

Combine like terms: -7z + 2z = -5z
-5z = -2z + 2z

Combine like terms: -2z + 2z = 0
-5z = 0

Divide each side by '-5'.
z = 0

Simplifying
z = 0