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We measure branching fractions of Br(B^0 --> K^{*0}\\gamma) = (4.01 \\pm 0.21 \\pm 0.17)*10^{-5} and Br(B^+ --> K^{*+}\\gamma) = (4.25 \\pm 0.31 \\pm 0.24)*10^{-5}, where the first and second errors are statistical and systematic, respectively. The isospin asymmetry between B^0 and B^+ decay widths is measured to be \\Delta_{0+} = +0.012 \\pm 0.044 \\pm 0.026. 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