How do I remove Publish Name appendage of "-1"?

Lately when I Publish Projects, they are published with a suffix of
-1 appended to the published name, e.g. ProjectName becomes 
ProjectName-1.  I can delete the old folder (ProjectName) which 
I’ve done. However,  I don’t like to see the -1 appended to the 
upgraded current project.

How do I rename the correct components to remove the “-1” without 
screwing things up?  Is this something I can do in Windows 
Explorer or is it something I need to do via Visual Studio?  And, 
if Visual Studio, how do I do it?

You might ask why I haven’t tried Windows Explorer, and my answer 
is: I don’t want to go through the “pain” of restoring the project
if this isn’t the right option.

Terry 01