Rub the wallpaper glue with a damp cloth vigorously to verify that you've removed as much glue as possible. Allow the spot to dry for 30 minutes before continuing.
Sand the rough area using a sandpaper block. Slough off a light layer of the surface, and lightly blend the edges of the glue into the wall.
Apply wall conditioner to the glued spot using a dry paintbrush. Allow the acrylic to dry for at least three hours before continuing.
Paint on a coat of primer to the walls. Use smooth, even strokes to cover the entire wall or just the glued area if you're making a repair. Allow the primer to dry for one hour before proceeding.
Cover the wall with one or two layers of interior paint. Use a paintbrush to make smooth, even stroke marks over the glue. Allow the first layer to dry completely before applying a second coat.