\(\dfrac{-3}{5}\cdot\dfrac{5}{7}+\dfrac{-3}{5}\cdot\dfrac{3}{7}+\dfrac{-3}{5}\cdot\dfrac{6}{7}\)
\(=\dfrac{3}{5}\cdot\dfrac{-5}{7}+\dfrac{3}{5}\cdot\dfrac{-3}{7}+\dfrac{3}{5}\cdot\dfrac{-6}{7}\)
\(=\dfrac{3}{5}\cdot\left(\dfrac{-5}{7}+\dfrac{-3}{7}+\dfrac{-6}{7}\right)\)
\(=\dfrac{3}{5}\cdot\left(-\dfrac{14}{7}\right)\)
\(=\dfrac{3}{5}\cdot\left(-2\right)\)
\(=-\dfrac{6}{5}\)