(z-13)+(z+10)+(z)=360

Solution for (z-13)+(z+10)+(z)=360 equation:

Simplifying
(z + -13) + (z + 10) + (z) = 360

Reorder the terms:
(-13 + z) + (z + 10) + (z) = 360

Remove parenthesis around (-13 + z)
-13 + z + (z + 10) + (z) = 360

Reorder the terms:
-13 + z + (10 + z) + (z) = 360

Remove parenthesis around (10 + z)
-13 + z + 10 + z + (z) = 360
-13 + z + 10 + z + z = 360

Reorder the terms:
-13 + 10 + z + z + z = 360

Combine like terms: -13 + 10 = -3
-3 + z + z + z = 360

Combine like terms: z + z = 2z
-3 + 2z + z = 360

Combine like terms: 2z + z = 3z
-3 + 3z = 360

Solving
-3 + 3z = 360

Solving for variable 'z'.

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

Add '3' to each side of the equation.
-3 + 3 + 3z = 360 + 3

Combine like terms: -3 + 3 = 0
0 + 3z = 360 + 3
3z = 360 + 3

Combine like terms: 360 + 3 = 363
3z = 363

Divide each side by '3'.
z = 121

Simplifying
z = 121