#### Answer

$z=\frac{87}{8}$

#### Work Step by Step

We are given the equation $z-\frac{7}{8}=10$.
Add $\frac{7}{8}$ to both sides.
$z-\frac{7}{8}+\frac{7}{8}=10+\frac{7}{8}$
$z+0=10+\frac{7}{8}=\frac{80}{8}+\frac{7}{8}=\frac{80+7}{8}=\frac{87}{8}$
$z+0=\frac{87}{8}$
Therefore, $z=\frac{87}{8}$.