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We present the results of a recent AGS measurement of the total cross section for neutrons on protons, deuterons and other nuclei in the momentum range 10 to 30 GeV/c. The standard good-geometry transmission technique was used with a total absorption spectrometer to detect the transmitted neutrons. Biasing the spectrometer towards high neutron momenta together with the strongly-peaked momentum spectrum of the beam gave relatively good momentum resolution. Measurements were made at mean momenta of 12, 13, 18 and 26.5 GeV/c. Results are presented and the cross sections for nuclei are compared with theoretical predictions.