Find the value of m for which it satisfies \(\left(\frac{21}{8}\right)^{12}\times\left(\frac{8}{21}\right)^{14}\times\left(\frac{21}{8}\right)^{14}=\left(\frac{8}{21}\right)^{9m+20}\).
-\( \frac{25}{9} \)
-\( \frac{32}{9} \)
-\( \frac{22}{9} \)
-\( \frac{37}{9} \)