\[- 4 < \frac{8a + 3}{7} < 2\]
\[- 28 < 8a + 3 < 14\]
\[- 31 < 8a < 11\]
\[- \frac{31}{8} < a < \frac{11}{8}\]
\[Ответ:\left( - \frac{31}{8};\ \frac{11}{8} \right).\]