(5z+3)+(z-9)=36

Solution for (5z+3)+(z-9)=36 equation:

Simplifying
(5z + 3) + (z + -9) = 36

Reorder the terms:
(3 + 5z) + (z + -9) = 36

Remove parenthesis around (3 + 5z)
3 + 5z + (z + -9) = 36

Reorder the terms:
3 + 5z + (-9 + z) = 36

Remove parenthesis around (-9 + z)
3 + 5z + -9 + z = 36

Reorder the terms:
3 + -9 + 5z + z = 36

Combine like terms: 3 + -9 = -6
-6 + 5z + z = 36

Combine like terms: 5z + z = 6z
-6 + 6z = 36

Solving
-6 + 6z = 36

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 6z = 36 + 6

Combine like terms: -6 + 6 = 0
0 + 6z = 36 + 6
6z = 36 + 6

Combine like terms: 36 + 6 = 42
6z = 42

Divide each side by '6'.
z = 7

Simplifying
z = 7