(z-27)+(z-6)=z+27

Solution for (z-27)+(z-6)=z+27 equation:

Simplifying
(z + -27) + (z + -6) = z + 27

Reorder the terms:
(-27 + z) + (z + -6) = z + 27

Remove parenthesis around (-27 + z)
-27 + z + (z + -6) = z + 27

Reorder the terms:
-27 + z + (-6 + z) = z + 27

Remove parenthesis around (-6 + z)
-27 + z + -6 + z = z + 27

Reorder the terms:
-27 + -6 + z + z = z + 27

Combine like terms: -27 + -6 = -33
-33 + z + z = z + 27

Combine like terms: z + z = 2z
-33 + 2z = z + 27

Reorder the terms:
-33 + 2z = 27 + z

Solving
-33 + 2z = 27 + 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.
-33 + 2z + -1z = 27 + z + -1z

Combine like terms: 2z + -1z = 1z
-33 + 1z = 27 + z + -1z

Combine like terms: z + -1z = 0
-33 + 1z = 27 + 0
-33 + 1z = 27

Add '33' to each side of the equation.
-33 + 33 + 1z = 27 + 33

Combine like terms: -33 + 33 = 0
0 + 1z = 27 + 33
1z = 27 + 33

Combine like terms: 27 + 33 = 60
1z = 60

Divide each side by '1'.
z = 60

Simplifying
z = 60