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Convective amplification of stimulated Brillouin backscattering (SBBS) in inhomogeneous magnetized plasma is investigated. The slow-coupling equations for the instability in a plasma, with a linear density ramp and an ambient dc-magnetic field vertical to the direction of the propagation of the pump electromagnetic wave, are obtained. A correction on the SBBS convective amplification factor, which accounts for the effect of the dc-magnetic field, is derived and compared to the corresponding factor known in literature for nonmagnetized plasma. Also, an expression for the threshold values of the amplitude of the electric field of the incident laser wave is obtained. The dc-magnetic fields enhance SBBS convective amplification and reduce the threshold values.