So I tried the comb first (there were actually two mats) but because it was a flea comb, I think that it was too fine. I couldn't really get a good grip beneath the mat.
She slipped quite a bit of fur when I was trying to use the comb so I thought maybe she would just slip the mat. I pinched the base of the mat and applied a bit of tension on the mat. Sure enough, she slipped the mat quite easily. There didn't seem to be any discomfort, she didn't wiggle or bark. I'm positive that she slipped the fur versus me plucking it out. I was actually surprised at how easy it was.
So I guess there's a few ways that they can come out. The breeders combs probably work great though...just the flea comb I had wasn't the same.