-0.4(0.5z+4)=3.2

Solution for -0.4(0.5z+4)=3.2 equation:

Simplifying
-0.4(0.5z + 4) = 3.2

Reorder the terms:
-0.4(4 + 0.5z) = 3.2
(4 * -0.4 + 0.5z * -0.4) = 3.2
(-1.6 + -0.2z) = 3.2

Solving
-1.6 + -0.2z = 3.2

Solving for variable 'z'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.2z = 3.2 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.2z = 3.2 + 1.6
-0.2z = 3.2 + 1.6

Combine like terms: 3.2 + 1.6 = 4.8
-0.2z = 4.8

Divide each side by '-0.2'.
z = -24

Simplifying
z = -24