3z+1=2-2

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

Simplifying
3z + 1 = 2 + -2

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

Combine like terms: 2 + -2 = 0
1 + 3z = 0

Solving
1 + 3z = 0

Solving for variable 'z'.

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

Add '-1' to each side of the equation.
1 + -1 + 3z = 0 + -1

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

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

Divide each side by '3'.
z = -0.3333333333

Simplifying
z = -0.3333333333