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

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

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

Reorder the terms:
2(-3 + 2z) + -2(3 + -4z) = 2
(-3 * 2 + 2z * 2) + -2(3 + -4z) = 2
(-6 + 4z) + -2(3 + -4z) = 2
-6 + 4z + (3 * -2 + -4z * -2) = 2
-6 + 4z + (-6 + 8z) = 2

Reorder the terms:
-6 + -6 + 4z + 8z = 2

Combine like terms: -6 + -6 = -12
-12 + 4z + 8z = 2

Combine like terms: 4z + 8z = 12z
-12 + 12z = 2

Solving
-12 + 12z = 2

Solving for variable 'z'.

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

Add '12' to each side of the equation.
-12 + 12 + 12z = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 12z = 2 + 12
12z = 2 + 12

Combine like terms: 2 + 12 = 14
12z = 14

Divide each side by '12'.
z = 1.166666667

Simplifying
z = 1.166666667