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Navigate to the photo that contains the comment you have decided to delete. Point to the upper-right corner of the box that displays your comment. Click on the "delete" to delete your comment. Press the "Delete" button that displays in the pop-up window.
A small  "pencil" icon labeled with "edit or delete" will display. A pop-up window will display asking you to confirm your decision to delete the comment. Your comment will then be removed from that particular Facebook photo indefinitely.