\(\left(\dfrac{3}{2}\times\dfrac{5}{7}+\dfrac{3}{2}\times\dfrac{7}{2}-\dfrac{3}{2}+\dfrac{3}{2}\right):\dfrac{3}{2}\)
\(=\left[\dfrac{3}{2}\times\left(\dfrac{5}{7}+\dfrac{7}{2}\right)-\left(\dfrac{3}{2}-\dfrac{3}{2}\right)\right]:\dfrac{3}{2}\)
\(=\left[\dfrac{3}{2}\times\dfrac{59}{14}-0\right]:\dfrac{3}{2}\)
\(=\dfrac{3}{2}\times\dfrac{59}{14}:\dfrac{3}{2}-0:\dfrac{3}{2}\)
\(=\dfrac{59}{14}-0\)
= \(\dfrac{59}{14}\)