The answer would be 5/2q+9r+6r-20s
Explanation 
We have the equation
5(1/2q+3r-4s) 
which would equal 
5/2q+15r-20s 
so with the information 
We can subtract 6r from 15r to get 9r 
15r-6r=9r
+9r would be the missing piece 
So we substitute it in to make the equation true.
5/2q(+9r)+6r-20s 
Hope this helps or was correct