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Default Need Help with "SUM" AND "ABS" in same formula

The cells in a SUM formula all include formulas that provide the cells with
negative numbers, positive numbers and blank cells. Need to have the
respective values to be used in another formula as absolute values. Need to
have the negative values in the range to stay displayed as negatives and the
blank cells in the range to stay displayed as blank. Tried using
=sum(abs(range)), which works fine if the blank cells are omitted from the
range. If the blank cells are part of the range the result is "#VALUE!". Is
there something to add to resolve the error message?
 
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