z+1=-z

Solution for z+1=-z equation:

Simplifying
z + 1 = -1z

Reorder the terms:
1 + z = -1z

Solving
1 + z = -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.
1 + z + z = -1z + z

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

Combine like terms: -1z + z = 0
1 + 2z = 0

Add '-1' to each side of the equation.
1 + -1 + 2z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2z = 0 + -1
2z = 0 + -1

Combine like terms: 0 + -1 = -1
2z = -1

Divide each side by '2'.
z = -0.5

Simplifying
z = -0.5