Apply drywall seam tape around the drywall patch if you are using wire mesh to reinforce the patch. Push the tape into the drywall compound you applied for the patch to smooth it out. Allow the patch to dry.
Sand the patch even with the wall using 80-grit sandpaper. Make the patch as smooth as possible.
Apply a paint primer over the patch to cover the compound. Do not skip this step or the wall paint will look dry when applied to the wall after being absorbed by the compound. Allow the patch to dry.
Paint the patch with a color matching the rest of the wall. Use leftover paint from the original paint job if possible.