Nope, you have something like 6 or 8 installs to start with. The deactivations (also limited) supposedly will extend those install numbers somewhat.
I did the same sometime ago but in my case it was due to ignorance and not knowing, I still don't, how the deactivation is supposed to work. I tried it with the last reinstall but it also did not work so I just used another valid numbered install from my quota. I guess I'll fight that fight once I reach my limit in the future :D