But tape doesn't age very well.
Removing the carrier is relatively easy, but removing the adhesive from the paper can be very tricky. Generally conservators use solvents, first testing with water and then on to stronger solvents like ethyl acetate or acetone. If a straight solvent doesn't work, then testing begins again with a mixture. It can take a while to find the right solvent, or right combination but if you don't find it, the adhesive won't budge; its not as though solvent X will get it to move a little and solvent Y will move it faster.
Sometimes even after all the meticulous work of testing and applying tiny patches of solvent with a cotton swab, conservation feels like magic!