\(\left|\dfrac{1}{2}+\dfrac{-2}{3}\right|.\dfrac{24}{7}-\dfrac{4}{7}.\dfrac{3}{5}+\dfrac{2}{5}.\left(\dfrac{-4}{7}\right)\)
\(=\left|-\dfrac{1}{6}\right|.\dfrac{24}{7}+\left(-\dfrac{4}{7}\right).\dfrac{3}{5}+\dfrac{2}{5}.\left(\dfrac{-4}{7}\right)\)
\(=\dfrac{1}{6}.\dfrac{24}{7}+\left(-\dfrac{4}{7}\right).\left(\dfrac{3}{5}+\dfrac{2}{5}\right)\)
\(=\dfrac{4}{7}-\dfrac{4}{7}.1\)
\(=\dfrac{4}{7}-\dfrac{4}{7}\\ =0\)