-[9-(15z+3)]=3+(5Z+6)

Solution for -[9-(15z+3)]=3+(5Z+6) equation:

Simplifying
-1[9 + -1(15z + 3)] = 3 + (5Z + 6)

Reorder the terms:
-1[9 + -1(3 + 15z)] = 3 + (5Z + 6)
-1[9 + (3 * -1 + 15z * -1)] = 3 + (5Z + 6)
-1[9 + (-3 + -15z)] = 3 + (5Z + 6)

Combine like terms: 9 + -3 = 6
-1[6 + -15z] = 3 + (5Z + 6)
[6 * -1 + -15z * -1] = 3 + (5Z + 6)
[-6 + 15z] = 3 + (5Z + 6)

Reorder the terms:
-6 + 15z = 3 + (6 + 5Z)

Remove parenthesis around (6 + 5Z)
-6 + 15z = 3 + 6 + 5Z

Combine like terms: 3 + 6 = 9
-6 + 15z = 9 + 5Z

Solving
-6 + 15z = 9 + 5Z

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 + 15z = 9 + 6 + 5Z

Combine like terms: -6 + 6 = 0
0 + 15z = 9 + 6 + 5Z
15z = 9 + 6 + 5Z

Combine like terms: 9 + 6 = 15
15z = 15 + 5Z

Divide each side by '15'.
z = 1 + 0.3333333333Z

Simplifying
z = 1 + 0.3333333333Z