Remove blank cells in a table?

I have a Pages 5.0.1 document that's one three-column, multi-row table set up to print address labels for our annual holiday card mailing.

As people come and go from the mailing list, we have a number of blank cells I would like to delete from the table.

After reviewing all the menu and Help options, I've still not found the process.

Can someone help me to discover how I do this? (And where I overlooked the directions to do so? It's got to be possible to do, right?)

In case it matters, this document was originally created in Word years ago on a previous iMac and converted to Pages when I got rid of the MS for Mac suite.