16z-(3z-(6-9z))=30z+(-(3z+2)-(z+3))

Solution for 16z-(3z-(6-9z))=30z+(-(3z+2)-(z+3)) equation:

Simplifying
16z + -1(3z + -1(6 + -9z)) = 30z + (-1(3z + 2) + -1(z + 3))
16z + -1(3z + (6 * -1 + -9z * -1)) = 30z + (-1(3z + 2) + -1(z + 3))
16z + -1(3z + (-6 + 9z)) = 30z + (-1(3z + 2) + -1(z + 3))

Reorder the terms:
16z + -1(-6 + 3z + 9z) = 30z + (-1(3z + 2) + -1(z + 3))

Combine like terms: 3z + 9z = 12z
16z + -1(-6 + 12z) = 30z + (-1(3z + 2) + -1(z + 3))
16z + (-6 * -1 + 12z * -1) = 30z + (-1(3z + 2) + -1(z + 3))
16z + (6 + -12z) = 30z + (-1(3z + 2) + -1(z + 3))

Reorder the terms:
6 + 16z + -12z = 30z + (-1(3z + 2) + -1(z + 3))

Combine like terms: 16z + -12z = 4z
6 + 4z = 30z + (-1(3z + 2) + -1(z + 3))

Reorder the terms:
6 + 4z = 30z + (-1(2 + 3z) + -1(z + 3))
6 + 4z = 30z + ((2 * -1 + 3z * -1) + -1(z + 3))
6 + 4z = 30z + ((-2 + -3z) + -1(z + 3))

Reorder the terms:
6 + 4z = 30z + (-2 + -3z + -1(3 + z))
6 + 4z = 30z + (-2 + -3z + (3 * -1 + z * -1))
6 + 4z = 30z + (-2 + -3z + (-3 + -1z))

Reorder the terms:
6 + 4z = 30z + (-2 + -3 + -3z + -1z)

Combine like terms: -2 + -3 = -5
6 + 4z = 30z + (-5 + -3z + -1z)

Combine like terms: -3z + -1z = -4z
6 + 4z = 30z + (-5 + -4z)

Remove parenthesis around (-5 + -4z)
6 + 4z = 30z + -5 + -4z

Reorder the terms:
6 + 4z = -5 + 30z + -4z

Combine like terms: 30z + -4z = 26z
6 + 4z = -5 + 26z

Solving
6 + 4z = -5 + 26z

Solving for variable 'z'.

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

Add '-26z' to each side of the equation.
6 + 4z + -26z = -5 + 26z + -26z

Combine like terms: 4z + -26z = -22z
6 + -22z = -5 + 26z + -26z

Combine like terms: 26z + -26z = 0
6 + -22z = -5 + 0
6 + -22z = -5

Add '-6' to each side of the equation.
6 + -6 + -22z = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -22z = -5 + -6
-22z = -5 + -6

Combine like terms: -5 + -6 = -11
-22z = -11

Divide each side by '-22'.
z = 0.5

Simplifying
z = 0.5