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

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

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

Reorder the terms:
9z + -2(3 + 2z) = z + -6
9z + (3 * -2 + 2z * -2) = z + -6
9z + (-6 + -4z) = z + -6

Reorder the terms:
-6 + 9z + -4z = z + -6

Combine like terms: 9z + -4z = 5z
-6 + 5z = z + -6

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

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

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

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

Solving
5z = z

Solving for variable 'z'.

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

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

Combine like terms: 5z + -1z = 4z
4z = z + -1z

Combine like terms: z + -1z = 0
4z = 0

Divide each side by '4'.
z = 0

Simplifying
z = 0