-2(z-3)-(1+6z)=-9z

Solution for -2(z-3)-(1+6z)=-9z equation:

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

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

Reorder the terms:
6 + -1 + -2z + -6z = -9z

Combine like terms: 6 + -1 = 5
5 + -2z + -6z = -9z

Combine like terms: -2z + -6z = -8z
5 + -8z = -9z

Solving
5 + -8z = -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.
5 + -8z + 9z = -9z + 9z

Combine like terms: -8z + 9z = 1z
5 + 1z = -9z + 9z

Combine like terms: -9z + 9z = 0
5 + 1z = 0

Add '-5' to each side of the equation.
5 + -5 + 1z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1z = 0 + -5
1z = 0 + -5

Combine like terms: 0 + -5 = -5
1z = -5

Divide each side by '1'.
z = -5

Simplifying
z = -5