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

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

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

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

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

Reorder the terms:
3 + -7z = 4 + -1[6 + -3 + -1z + 2z]

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

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

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

Solving
3 + -7z = 1 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
3 + -7z + z = 1 + -1z + z

Combine like terms: -7z + z = -6z
3 + -6z = 1 + -1z + z

Combine like terms: -1z + z = 0
3 + -6z = 1 + 0
3 + -6z = 1

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

Combine like terms: 3 + -3 = 0
0 + -6z = 1 + -3
-6z = 1 + -3

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

Divide each side by '-6'.
z = 0.3333333333

Simplifying
z = 0.3333333333