Use an electronic stud finder to find each stud in the wall. Mark a small X midway between each stud, about 6 inches down from the ceiling.
Cut out holes at each mark, using your drill and hole saw bit. Save cutout circles.
Fill the insulation blower with loose cellulose insulation. Thread the hose into the first hole. Push it all the way in, so the end of the hose goes to the bottom of the interior of the wall.
Run the machine, filling the space between the first two studs. Pull out the hose gradually as the insulation fills the space and the hose is completely withdrawn. Repeat for each hole.
Press one of the cutout circles into the first hole. Cover the circle with drywall tape. Spread plaster over the tape with a drywall knife, getting it flat and smooth. Repeat for each hole.
Let the plaster dry for six hours. Spread on a second layer of plaster. Let it dry for 12 hours.
Sand the dried plaster smooth with drywall sandpaper. Repaint the wall.