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I have read your query and reviewed the attached photos (attachment removed to protect the patient's identity). This seems to be eczema. I suggest you apply a topical steroid and antibiotic combination cream. Apply Fucibet cream (Fusidic acid and Betamethasone valerate) on the affected areas twice daily for 10 days. Also, apply moisturizer on your entire hand multiple times a day to keep the area moisturized and to avoid friction. Follow up after 10 days.