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Apply acetone to a cloth, until it is damp. Wear gloves to protect your skin from the chemical.
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Scrub the paint with the damp cloth, thoroughly. Acetone starts dissolving paint at the top layer and works its way down to the bottom layer. Reapply acetone as needed.
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Let the acetone soak into the paint for two to three minutes.
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Use a plastic putty knife and scrape up the oil-based paint. For small crevices, use a toothpick to remove the paint.
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Reapply acetone to the cloth and repeat the process until you've completely removed the paint.
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Clean the area with a damp rag to remove debris.
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Reapply varnish if needed.
Check out this related video from Homesteady on Youtube.