\(\dfrac{8}{13}-\dfrac{7}{29}-\dfrac{8}{13}+\dfrac{7}{29}+\dfrac{2019}{2020}=\left(\dfrac{8}{13}-\dfrac{8}{13}\right)-\left(\dfrac{7}{29}+\dfrac{7}{29}\right)+\dfrac{2019}{2020}=0-0+\dfrac{2019}{2020}=\dfrac{2019}{2020}\)
(-8/13 + 8/13)+(-7/29 + 7/29)+2019/2020
=2019/2020
\(\dfrac{8}{13}-\dfrac{7}{29}-\dfrac{8}{13}+\dfrac{7}{29}+\dfrac{2019}{2020}\)
\(=\dfrac{2019}{2020}\)
\(\dfrac{8}{13}+\dfrac{-7}{29}+\dfrac{-8}{13}+\dfrac{7}{29}+\dfrac{2019}{2020}\)
\(=0+0+\dfrac{2019}{2020}\)
\(=\dfrac{2019}{2020}\)