I'm new to Adobe Premiere Pro CC.
How do I select a region in the timeline using the keyboard and then delete it, like you'd do in Sony Vegas Pro?
This can be done very easily be setting In and Out points in the sequence timeline.
In and Out points can be set using the I and O keys respectively.
Once you have made your select, press the Delete key to remove the selection.
Make sure that the video and audio tracks you want deleted have 'track targeting' activated.
If you want to quickly remove the gap between all the clips, you can also right-click in the empty area and select 'Ripple Delete'.