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When navigating through a single row, you can also use your TAB key on your keyboard to move to the right, and SHIFT + TAB to move to the left. Again, if you come to a cell that is editable, you can choose to edit the cell and then tab (or shift + tab) to move out when you are done editing.
It is important you move out of the cell with a keyboard click as noted above or your mouse after editing a cell to ensure the change has been made.