Make a series of cross-hatched scratches over the crack on the plaster wall using a putty knife. This will create a surface that is easy for joint compound to bind to.
Spread a thin but even layer of joint compound over the entire crack and the marks you made, using a wide taping knife to apply the product smoothly.
Apply self-adhesive fiberglass mesh drywall tape directly over the wet crack. Allow the joint compound to dry.
Apply a thick layer of joint compound over the self-adhesive fiberglass mesh drywall tape until it is completely covered. Allow the joint compound to dry.
Sand the joint compound using fine sandpaper until the finish is nice and smooth. Do not sand so far that you disturb the self-adhesive fiberglass mesh drywall tape.
Wipe away any dust with a soft cloth.
Apply another layer of joint compound over the newly sanded area. Allow to dry and sand down again. Repeat once more.
If you see that the walls are pitted or not smooth, use a very thin coat of compound on the area and sand.