2z-2(3-4z)=6+2z

Solution for 2z-2(3-4z)=6+2z equation:

Simplifying
2z + -2(3 + -4z) = 6 + 2z
2z + (3 * -2 + -4z * -2) = 6 + 2z
2z + (-6 + 8z) = 6 + 2z

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

Combine like terms: 2z + 8z = 10z
-6 + 10z = 6 + 2z

Solving
-6 + 10z = 6 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-6 + 10z + -2z = 6 + 2z + -2z

Combine like terms: 10z + -2z = 8z
-6 + 8z = 6 + 2z + -2z

Combine like terms: 2z + -2z = 0
-6 + 8z = 6 + 0
-6 + 8z = 6

Add '6' to each side of the equation.
-6 + 6 + 8z = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 8z = 6 + 6
8z = 6 + 6

Combine like terms: 6 + 6 = 12
8z = 12

Divide each side by '8'.
z = 1.5

Simplifying
z = 1.5