Lay the film on your work surface so the damaged splice is flat on the table.
Using a razor blade or your fingernail, scrape the remains of the old splice tape off of the film. Your film should now be in two sections.
Apply a new piece of film splice tape over the two sections of film, joining them. Do this on one side only, and do this only if you are wanting to do a quick fix and do not mind that the repair will be obvious. If you are looking for a more seamless repair, continue to the next step.
Place the two halves of the film onto your light box, or, if you are using an actual super 8 movie editor, put them in the film pans that are then inserted in the viewer.
Look closely at each frame and identify where the frames can be cut to create a new splice that will not include the damaged portions or interrupt the flow of the images in the scene. Cut the film there with a razor blade. Push the two ends together and, using splice tape, join them by placing the splice tape on one side only.