4z-2(3-4z)=15

Solution for 4z-2(3-4z)=15 equation:

Simplifying
4z + -2(3 + -4z) = 15
4z + (3 * -2 + -4z * -2) = 15
4z + (-6 + 8z) = 15

Reorder the terms:
-6 + 4z + 8z = 15

Combine like terms: 4z + 8z = 12z
-6 + 12z = 15

Solving
-6 + 12z = 15

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 12z = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 12z = 15 + 6
12z = 15 + 6

Combine like terms: 15 + 6 = 21
12z = 21

Divide each side by '12'.
z = 1.75

Simplifying
z = 1.75