I think what bothered me was the fact that when i cut those silver little things in half, its not a lot to solder ontoYup, that's it. The solder blobs are there for hooking up the cut segments. As Andy said, you can also see how they are organized in sets of three -- they are actually wired in series, three LEDs in a row and a single ballast resistor for the model of strip you have, making it 12 volt compatible.
so what your saying is cut just above the blobs, and sacrafice the next three leds for the sake of having more of a solder point?Yeah, that's the problem with those. But...if you aren't trying to salvage the part you are cutting away, then cut on the far side of the blob. It's the same electrically; all the traces will be from blob towards LEDs/resistor.