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I installed the Pro version of Visual Studio 2015 on Windows 10, to test.
When creating a project you should open a screen with the options as in the image below:
But open like this:
Does not show ASP.NET 5 Templates options.
I tried adding by Tools -> Extensions unsuccessfully.
I used the Repair option and nothing either. Including the "Web Developer Tools" option marked.
I saw some post s that just solved the problem by formatting the machine.