100[0.04(z+8)]=

Solution for 100[0.04(z+8)]= equation:

Simplifying
100[0.04(z + 8)] = 0

Reorder the terms:
100[0.04(8 + z)] = 0
100[(8 * 0.04 + z * 0.04)] = 0
100[(0.32 + 0.04z)] = 0
[0.32 * 100 + 0.04z * 100] = 0
[32 + 4z] = 0

Solving
32 + 4z = 0

Solving for variable 'z'.

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

Add '-32' to each side of the equation.
32 + -32 + 4z = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 4z = 0 + -32
4z = 0 + -32

Combine like terms: 0 + -32 = -32
4z = -32

Divide each side by '4'.
z = -8

Simplifying
z = -8