9-3(9z+1)=-4(-z-6)-8

Solution for 9-3(9z+1)=-4(-z-6)-8 equation:

Simplifying
9 + -3(9z + 1) = -4(-1z + -6) + -8

Reorder the terms:
9 + -3(1 + 9z) = -4(-1z + -6) + -8
9 + (1 * -3 + 9z * -3) = -4(-1z + -6) + -8
9 + (-3 + -27z) = -4(-1z + -6) + -8

Combine like terms: 9 + -3 = 6
6 + -27z = -4(-1z + -6) + -8

Reorder the terms:
6 + -27z = -4(-6 + -1z) + -8
6 + -27z = (-6 * -4 + -1z * -4) + -8
6 + -27z = (24 + 4z) + -8

Reorder the terms:
6 + -27z = 24 + -8 + 4z

Combine like terms: 24 + -8 = 16
6 + -27z = 16 + 4z

Solving
6 + -27z = 16 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
6 + -27z + -4z = 16 + 4z + -4z

Combine like terms: -27z + -4z = -31z
6 + -31z = 16 + 4z + -4z

Combine like terms: 4z + -4z = 0
6 + -31z = 16 + 0
6 + -31z = 16

Add '-6' to each side of the equation.
6 + -6 + -31z = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -31z = 16 + -6
-31z = 16 + -6

Combine like terms: 16 + -6 = 10
-31z = 10

Divide each side by '-31'.
z = -0.3225806452

Simplifying
z = -0.3225806452