v.1. To eliminate some irregularity, roughness, or projection, so as to achieve a smooth surface or consistency: After you make the bed, run your hand over the blanket to smooth away the wrinkles. Strands of hair were falling across my forehead while I worked, so I smoothed them away with my thumb.
2. To eliminate some obstruction, hindrance, or difficulty: It's good to have a mentor to help smooth away the difficulties of a new career. I had some concerns, but my friend spoke with me and smoothed them away.