remember you can do ANYTHING to an equaiton aslong as you do it to BOTH SIDES
5/k-6=-3
add 6 to both sides
5/k+6-6=-3+6
5/k+0=3
5/k=3
times k both sides
5k/k=3k
5(k/k)=3k
5=3k
divide both sides by 3
5/3=k
check
5/(5/3)-6=-3
15/5-6=-3
3-6=-3
-3=-3
true
k=5/3