#### Answer

$z = \frac{1}{5}$

#### Work Step by Step

$\frac{11z}{16}$ + $\frac{7z}{8}$ = $\frac{5}{16}$
Multiply both sides by 16 in order to get rid of the denominators.
We get: $11z$ +$ 14z = 5$
This becomes $25 z = 5$
Divide both sides by 25 to isolate $z.$
We get $z = \frac{1}{5}$