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

Solution for -(2z-2)+1=3+(2z+2) equation:

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

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

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

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

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

Remove parenthesis around (2 + 2z)
3 + -2z = 3 + 2 + 2z

Combine like terms: 3 + 2 = 5
3 + -2z = 5 + 2z

Solving
3 + -2z = 5 + 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.
3 + -2z + -2z = 5 + 2z + -2z

Combine like terms: -2z + -2z = -4z
3 + -4z = 5 + 2z + -2z

Combine like terms: 2z + -2z = 0
3 + -4z = 5 + 0
3 + -4z = 5

Add '-3' to each side of the equation.
3 + -3 + -4z = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -4z = 5 + -3
-4z = 5 + -3

Combine like terms: 5 + -3 = 2
-4z = 2

Divide each side by '-4'.
z = -0.5

Simplifying
z = -0.5