2(3z-2)-2(4-22)=z

Solution for 2(3z-2)-2(4-22)=z equation:

Simplifying
2(3z + -2) + -2(4 + -22) = z

Reorder the terms:
2(-2 + 3z) + -2(4 + -22) = z
(-2 * 2 + 3z * 2) + -2(4 + -22) = z
(-4 + 6z) + -2(4 + -22) = z

Combine like terms: 4 + -22 = -18
-4 + 6z + -2(-18) = z

Multiply -2 * -18
-4 + 6z + 36 = z

Reorder the terms:
-4 + 36 + 6z = z

Combine like terms: -4 + 36 = 32
32 + 6z = z

Solving
32 + 6z = 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.
32 + 6z + -1z = z + -1z

Combine like terms: 6z + -1z = 5z
32 + 5z = z + -1z

Combine like terms: z + -1z = 0
32 + 5z = 0

Add '-32' to each side of the equation.
32 + -32 + 5z = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 5z = 0 + -32
5z = 0 + -32

Combine like terms: 0 + -32 = -32
5z = -32

Divide each side by '5'.
z = -6.4

Simplifying
z = -6.4