Here is my story:
I at one time installed Visual Studio 2015 Community Edition. I then uninstalled it, but the uninstall went badly somehow.
Weeks or months later, I saw the software lingering in the Programs and Features area where you can modify or uninstall programs.
So, I tried to uninstall it again and could not because the package was missing from the Package Cache folder.
Now, I don’t claim to understand how all this works and why it just hung when I tried to both uninstall and repair it. All I know is that sometimes I would get a dialog box during the uninstall prompting me to browse for the package that apparently was missing.
I did a lot of research and tried a lot of different things. Nothing worked for me. Without that package, I felt doomed…. until I came across this article.
I hope this help someone else as it did for me.
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https://support.microsoft.com/en-us/kb/3039361
Follow the section under:
Error during a repair
1) Close Visual Studio.
2) Open an elevated command prompt. To do this, click Start, type cmd in the Start search box, right-click cmd.exe in the results list, and then click Run as administrator.
3) At the command prompt, type the following command, and then press Enter.
cd “C:\ProgramData\Package Cache”
4) To clear the .msi and .cab files from the cache, type the following commands at the command prompt, and press Enter after each command:
Delete /F /S *.msiDelete /F /S *.cab
or
Erase /F /S *.msiDelete /F /S *.cab
5) Try to repair Visual Studio again.
Hope this helps!
James