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

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

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

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

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

Combine like terms: -6 + -4 = -10
-10 + 4z + 6z = 6

Combine like terms: 4z + 6z = 10z
-10 + 10z = 6

Solving
-10 + 10z = 6

Solving for variable 'z'.

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

Add '10' to each side of the equation.
-10 + 10 + 10z = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 10z = 6 + 10
10z = 6 + 10

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

Divide each side by '10'.
z = 1.6

Simplifying
z = 1.6