Good idea! I tape some paper/tape with my painter's masker tool to the wall just below the hole with the corners pinched and taped up to catch it. Throw away is quick and easy. The H.F. multi-tool (electric) is quick and easy, also for cutting/patching base and casing while in place.
Be safe, Gary
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17,000 dryer fires a year, when did you last clean the inside of the dryer near motor or the exhaust ducting?