\(\dfrac{4}{5}\left(\dfrac{1}{2}+\dfrac{1}{3}\right):\left(\dfrac{-3}{2}\right)+\left|\dfrac{-7}{4}\right|:\dfrac{21}{8}+\dfrac{5}{3}\left(\dfrac{3}{2}-\dfrac{6}{5}\right)\\ =\dfrac{4}{5}.\dfrac{5}{6}.\left(\dfrac{-2}{3}\right)+\dfrac{7}{4}.\dfrac{8}{21}+\dfrac{5}{3}.\dfrac{3}{10}\\ =-\dfrac{4}{9}+\dfrac{2}{3}+\dfrac{1}{2}\\ =\dfrac{13}{18}\)