Go to Whiterun and buy leather materials from the blacksmith. Then go over to the forge and craft leather gauntlets until you run out. When you run out, wait 48 hours (Skyrim time) for her supplies to restock. By making these, your smithing skill should go up very fast.
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I put the laughter in slaughter.
If you see really weird spelling or grammatical errors in my posts, it is because autocorrect decided not to work.