3z+6-z=8+z-1

Solution for 3z+6-z=8+z-1 equation:

Simplifying
3z + 6 + -1z = 8 + z + -1

Reorder the terms:
6 + 3z + -1z = 8 + z + -1

Combine like terms: 3z + -1z = 2z
6 + 2z = 8 + z + -1

Reorder the terms:
6 + 2z = 8 + -1 + z

Combine like terms: 8 + -1 = 7
6 + 2z = 7 + z

Solving
6 + 2z = 7 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
6 + 2z + -1z = 7 + z + -1z

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

Combine like terms: z + -1z = 0
6 + 1z = 7 + 0
6 + 1z = 7

Add '-6' to each side of the equation.
6 + -6 + 1z = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 7 + -6
1z = 7 + -6

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

Divide each side by '1'.
z = 1

Simplifying
z = 1