6=4(0.5z-8)

Solution for 6=4(0.5z-8) equation:

Simplifying
6 = 4(0.5z + -8)

Reorder the terms:
6 = 4(-8 + 0.5z)
6 = (-8 * 4 + 0.5z * 4)
6 = (-32 + 2z)

Solving
6 = -32 + 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 + -2z = -32 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + -2z = -32 + 0
6 + -2z = -32

Add '-6' to each side of the equation.
6 + -6 + -2z = -32 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = -32 + -6
-2z = -32 + -6

Combine like terms: -32 + -6 = -38
-2z = -38

Divide each side by '-2'.
z = 19

Simplifying
z = 19