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Actually, with the cells in parallel, each set (1 cell from each pack) of paralleled cells will try and stabilize at a voltage that equalizes them. Essentially, the balancer then will balance each set of paralleled cells as a single cell since the voltage will be equal in the cells.
However, while it should work fine, it would really be easier to just use 2 balancers and parallel the charging input into the balancers instead.
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I cant confirm that actualy. Usualy after couple cycles I balance cells on every pack separately becouse notices that cells no not stabilize each other. If one cell is 3,5V and second paralel cell is 3,7V on avaraege shows 3,6V if both batteries connected parallel. Whats why i do it.
And if packs are same type and brand etc parallel using should do OK.
If they are not equal I am not recommend to doi it because difference in cells will rise and avarage can be OK but for example one weak cell will be over discharged.