Picture of @TechShop MP: Replace the Capton Tape on a Makerbot Replicator
If you have a Makerbot Replicator or use one you have inevitably needed to change the tape on the build plate. This is what I have found to be the easiest way to do it.

Step 1: Remove the old tape

Picture of Remove the old tape
Peel up all the pieces of the old tape