Is there any way to exclude a cell from a range.

For example, in Cell F10, I'd like to calculate the sum of all OTHER cells
in that row, excluding F10 itself.  But SUM(A10:Z10) includes the cell F10,
and therefore generates a circular reference.  

If I were doing a single cell, I could say SUM(A10:E10) + SUM(G10:Z10).  
However, when I need a similar calculation for all cells in a range, this
would be a chore to create these formulas manually for each cell.

I think what I need is a range operator to define a range which excludes
single cells, something like "A10:Z10 excluding F10".

Any suggestions?

Thanks.