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Yes, the Book of Mormon is translated into Arabic (كتاب مورمون), as well as the Doctrine and Covenants and Pearl of Great Price. A scanned PDF of the Arabic Book of Mormon can be found here, and a physical copy can be purchased from Store.LDS.org. A list of other LDS materials in Arabic can be found on LDS.org.
The full Book of Mormon is currently available in 88 languages, including other Middle-Eastern languages like Persian (Farsi) and Turkish. A full list, with links, is available here: http://scripturetools.net/availability