= \(\left(\dfrac{7}{3}+\dfrac{7}{2}\right):\left(-\dfrac{25}{6}+\dfrac{22}{7}\right)+\dfrac{15}{2}\)
= \(\dfrac{35}{6}:\left(-\dfrac{43}{42}\right)+\dfrac{15}{2}\)
= \(-\dfrac{245}{43}+\dfrac{15}{2}\) = \(\dfrac{155}{86}\)
=(7/3+7/2):(-23/6+22/7)+15/2
=35/6:(-29/42)+15/2
=-245/43+15/2
=155/86