z-47+z-42=z+21

Solution for z-47+z-42=z+21 equation:

Simplifying
z + -47 + z + -42 = z + 21

Reorder the terms:
-47 + -42 + z + z = z + 21

Combine like terms: -47 + -42 = -89
-89 + z + z = z + 21

Combine like terms: z + z = 2z
-89 + 2z = z + 21

Reorder the terms:
-89 + 2z = 21 + z

Solving
-89 + 2z = 21 + 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.
-89 + 2z + -1z = 21 + z + -1z

Combine like terms: 2z + -1z = 1z
-89 + 1z = 21 + z + -1z

Combine like terms: z + -1z = 0
-89 + 1z = 21 + 0
-89 + 1z = 21

Add '89' to each side of the equation.
-89 + 89 + 1z = 21 + 89

Combine like terms: -89 + 89 = 0
0 + 1z = 21 + 89
1z = 21 + 89

Combine like terms: 21 + 89 = 110
1z = 110

Divide each side by '1'.
z = 110

Simplifying
z = 110