Solve.

1. ((3)/(s-6)) = ((4)/(s)) + ((1)/(2s))

Multiply both sides by s(s-6)

3s=4(s-6)+1/2 (s-6) If I read your () correctly.

multiply out, gather terms

3s=4s-24+s/2 -3
3s/2=27
s=54/3=18
check that.