\[b - \frac{5}{14}b = 5\frac{1}{7}\]
\[b\left( 1 - \frac{5}{14} \right) = 5\frac{1}{7}\]
\[b\left( \frac{14}{14} - \frac{5}{14} \right) = 5\frac{1}{7}\]
\[\frac{9}{14}b = \frac{36}{7}\]
\[b = \frac{36}{7}\ :\frac{9}{14}\]
\[b = \frac{36}{7} \cdot \frac{14}{9} = \frac{4 \cdot 9 \cdot 7 \cdot 2}{7 \cdot 9}\]
\[b = 8\]
\[Ответ:\ b = 8.\]