Give the hinge a second or two to adhere, and then gently lift the stamp from the page with your tongs. If you exercise care and don't over-moisten the hinge, it does a fine job. Now we will talk a little bit about mounts. Some collectors feel that those collectors who don't use mounts are either beginners or Neanderthals. I'll let you in on a little secret.
Mounts can and do damage stamps when used improperly.
In my mind, the major drawbacks to mounts are their cost and the time it takes to use them. This fad started in Europe a number of years ago, and it has swept around the world driven mostly by the people who think that stamps are an investment. Actually, there are good reasons to use mounts. Hinges are very hard on SS's. I also use mounts on better stamps, both mint and used.