You can activate on up to 2 computers, so if you have not used up that second "seat" go ahead install and activate.
You contact Adobe later and ask to reset your activations.
Also register your software, makes proof of ownership easier for them and your serial number can be accessed under your account from anywhere.
This will not resolve my issue. I will go into a little (or maybe a lot) more detail... I have installed adobe photoshop extended cs5 on the new machine. I need to update to camera raw 6.7 for my camera. When I try to install the update I get an error saying that there was a problem with the download. When I click on the contact customer support (lack of) I get a message saying the licence is not elilgible for upgrade. I am assuming that it adobe considers the camera raw update and upgrade... I was actually able to chat with someone last night (about an hour before I had to leave). He made the exception for my license in the system, but I can still not download the updates. Now I cannot get back into the chat again so I am hoping that someone can tell me what needs to be done. I am afraid to deactivate and uninstall/reinstall, as it may or may cause greater problems, but that is the only thing I can think of to do...