\(\left(-\dfrac{13}{7}-\dfrac{4}{9}\right)-\left(-\dfrac{10}{7}-\dfrac{4}{9}\right)\\ =-\dfrac{13}{7}-\dfrac{4}{9}+\dfrac{10}{7}+\dfrac{4}{9}\\ =\left(\dfrac{10}{7}-\dfrac{13}{7}\right)+\left(\dfrac{4}{9}-\dfrac{4}{9}\right)\\ =\dfrac{-3}{7}+0\\ =-\dfrac{3}{7}\)