-z-6z+3=-(6-z-(3-2z))

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

Simplifying
-1z + -6z + 3 = -1(6 + -1z + -1(3 + -2z))

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

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

Reorder the terms:
3 + -7z = -1(6 + -3 + -1z + 2z)

Combine like terms: 6 + -3 = 3
3 + -7z = -1(3 + -1z + 2z)

Combine like terms: -1z + 2z = 1z
3 + -7z = -1(3 + 1z)
3 + -7z = (3 * -1 + 1z * -1)
3 + -7z = (-3 + -1z)

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

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

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

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

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

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

Divide each side by '-6'.
z = 1

Simplifying
z = 1