A duct booster fan added to a system under high pressure due to having too many dampers closed isn't going to help because the velocity in the open ductwork is going to be high enough to where it will be a challenge to increase the flow any more. Ideally, to balance the system you would want to add more return and supply ductwork but to have it done right you would need the help of a pro unless you just added a flexduct run of supply and return to the coldest room so you could open some of your other dampers but that is a half-assed solution.
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