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TPS54160: Will this dual rail configuration work&

Part Number: TPS54160
Other Parts Discussed in Thread: TPS7A47, LM317, TPS7A33

Could you please evaluate the following configuration and tell me if this will work?

I need clean +/-30V dual rail power supply for audio circuit. I have two unregulated 40V rails available. These rails power the system of several modules, each having its own point-of-load regulation. In the drawing below, +/-OUT1 powers first module, and +/-OUT2 powers second module. Ground and chassis should be common to all modules in the system. RAIL1 and RAIL2 are commont power supply lines for both modules. Will this configuration work?

Thanks!