z+6=7-z

Solution for z+6=7-z equation:

Simplifying
z + 6 = 7 + -1z

Reorder the terms:
6 + z = 7 + -1z

Solving
6 + z = 7 + -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.
6 + z + z = 7 + -1z + z

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

Combine like terms: -1z + z = 0
6 + 2z = 7 + 0
6 + 2z = 7

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

Combine like terms: 6 + -6 = 0
0 + 2z = 7 + -6
2z = 7 + -6

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

Divide each side by '2'.
z = 0.5

Simplifying
z = 0.5