-[5z-(15z+6)]=6+(9z+0)

Solution for -[5z-(15z+6)]=6+(9z+0) equation:

Simplifying
-1[5z + -1(15z + 6)] = 6 + (9z + 0)

Reorder the terms:
-1[5z + -1(6 + 15z)] = 6 + (9z + 0)
-1[5z + (6 * -1 + 15z * -1)] = 6 + (9z + 0)
-1[5z + (-6 + -15z)] = 6 + (9z + 0)

Reorder the terms:
-1[-6 + 5z + -15z] = 6 + (9z + 0)

Combine like terms: 5z + -15z = -10z
-1[-6 + -10z] = 6 + (9z + 0)
[-6 * -1 + -10z * -1] = 6 + (9z + 0)
[6 + 10z] = 6 + (9z + 0)

Reorder the terms:
6 + 10z = 6 + (0 + 9z)
Remove the zero:
6 + 10z = 6 + (9z)
6 + 10z = 6 + (9z)

Add '-6' to each side of the equation.
6 + -6 + 10z = 6 + -6 + (9z)

Combine like terms: 6 + -6 = 0
0 + 10z = 6 + -6 + (9z)
10z = 6 + -6 + (9z)

Combine like terms: 6 + -6 = 0
10z = 0 + (9z)
10z = (9z)

Solving
10z = (9z)

Solving for variable 'z'.

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

Add '(-9z)' to each side of the equation.
10z + (-9z) = (9z) + (-9z)

Combine like terms: 10z + (-9z) = 1z
1z = (9z) + (-9z)

Combine like terms: (9z) + (-9z) = 0
1z = 0

Divide each side by '1'.
z = 0

Simplifying
z = 0