\(\left(-\dfrac{3}{7}\right)\cdot\dfrac{5}{9}+\dfrac{4}{9}\cdot\left(-\dfrac{3}{7}\right)+2\dfrac{3}{7}\)
\(=\left(-\dfrac{3}{7}\right)\cdot\dfrac{5}{9}+\dfrac{4}{9}\cdot\left(-\dfrac{3}{7}\right)+\dfrac{17}{7}\)
\(=\left(-\dfrac{3}{7}\right).\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\dfrac{17}{7}\)
\(=\left(-\dfrac{3}{7}\right)\cdot1+\dfrac{17}{7}\)
\(=\left(-\dfrac{3}{7}\right)+\dfrac{17}{7}\)
\(=2\)