Answer
$z=1/5$
Work Step by Step
We start by creating a common denominator for all of the fractions:
$\frac{11z}{16}+\frac{14z}{16}=\frac{5}{16}$
We now can combine the denominators on the same side of the equation:
$\frac{25z}{16}=\frac{5}{16}$
We then multiply both sides by 16 to find:
$25z=5$
We divide by 25 to obtain that $z=1/5$.
We plug 1/5 in for z and confirm that our answer is, indeed, correct.
