3z+10-z=6+Z+z

Solution for 3z+10-z=6+Z+z equation:

Simplifying
3z + 10 + -1z = 6 + Z + z

Reorder the terms:
10 + 3z + -1z = 6 + Z + z

Combine like terms: 3z + -1z = 2z
10 + 2z = 6 + Z + z

Solving
10 + 2z = 6 + Z + 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.
10 + 2z + -1z = 6 + Z + z + -1z

Combine like terms: 2z + -1z = 1z
10 + 1z = 6 + Z + z + -1z

Combine like terms: z + -1z = 0
10 + 1z = 6 + Z + 0
10 + 1z = 6 + Z

Add '-10' to each side of the equation.
10 + -10 + 1z = 6 + -10 + Z

Combine like terms: 10 + -10 = 0
0 + 1z = 6 + -10 + Z
1z = 6 + -10 + Z

Combine like terms: 6 + -10 = -4
1z = -4 + Z

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

Simplifying
z = -4 + Z