Решение:
$$\frac{8}{11}z + \frac{5}{22} = \frac{7}{33}$$
$$\frac{8}{11}z = \frac{7}{33} - \frac{5}{22}$$
$$\frac{8}{11}z = \frac{14}{66} - \frac{15}{66}$$
$$\frac{8}{11}z = -\frac{1}{66}$$
$$z = -\frac{1}{66} \cdot \frac{11}{8}$$
$$z = -\frac{11}{66 \cdot 8}$$
$$z = -\frac{1}{6 \cdot 8}$$
$$z = -\frac{1}{48}$$
Ответ: **-1/48**