Sprinkle baking soda on a sponge and slightly moisten it under water.
Rub over the stain vigorously with the sponge, making the stain appear lighter and lighter. You may have to repeat this process several times before the stain becomes lighter.
Rinse the sponge completely and wipe down the stain on the wall. Then allow it to air dry.
Gently abrade over the lightened stain with fine-grit sandpaper. You are aiming to make the stain nearly invisible while roughing the surface but not removing the paint.
Wipe down the wall with a tack cloth to remove all the dust from sanding.
Apply a light coat of matching-color ceiling paint with a paintbrush, let dry between one and two hours, then inspect it to see if it matches the wall color. If it is too light, apply another coat, then let dry to finish covering the dark stain.