A beam of length L=8.1 m is being designed to support a uniform load of intensity q = 9.7 kN/m. If the supports of the beam are placed at the ends, creating a simple beam, the maximum bending moment in the beam is . However, if the supports of the beam are moved symmetrically towards the middle of the beam (as shown in the figure), the maximum bending moment is reduced. Determine the distance 'a' in 'm' between the supports so that the maximum bending moment in the beam has the smallest possible numerical value.

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