Pull off the strip of trim from the mobile home wall by inserting a pry bar under one section and pushing back on the pry bar handle to lift up the nails. Continue using the pry bar along the entire length of the trim until it is removed.
Remove the existing nails from the trim by pulling them out with a pair of needle nose pliers. If the nails are straight and not corroded, save them for re-attaching the trim. If the nails are bent or rusted, discard them.
Turn the trim over so that the backside faces up and apply a thin, even layer of construction-grade adhesive to the back of it.
Pick up the trim and turn it so the adhesive faces away from you. Place the trim back into the proper wall location and press it down firmly. Hold the trim in place for 30 to 60 seconds.
Turn on a stud finder and run it along the wall, just above the trim. When the device lights up make a small pencil mark on the wall, which is where the wall studs are located.
Insert finishing nails into the trim at the locations of the wall studs using a hammer. Do not place the nails back into one of the old nail holes. Instead, move it 1/8 inch to the left or right. Repeat to install additional nails in each remaining wall stud.
Open a tube or tub of colored wood filler in the same color as the trim. Scoop out 1/4 teaspoon using a putty knife and press it into the old nail holes to cover them up.