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The steady boundary layer flow of a viscous fluid with heat transfer over an exponentially shrinking sheet in the presence of thermal radiation with mass suction is studied. Velocity and temperature slip is considered on the boundary. Using a similarity transformation, the governing boundary layer equations are transformed into a system of nonlinear ordinary differential equations, which are then solved numerically using MATLAB routine solver. Dual solutions exist for a certain range of mass suction parameter. It is also found that the range of mass suction parameter for obtaining the steady solution is enhanced with the increase of velocity slip parameter and is independent of the thermal slip parameter as well as the radiation parameter.