-3z+z+3=z+-2z+-1

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

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

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

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

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

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

Solving
3 + -2z = -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 + -2z + z = -1 + -1z + z

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

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

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

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

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

Divide each side by '-1'.
z = 4

Simplifying
z = 4