Conditional formatting with multiple conditions (lost between IF or AND, and not empty cells !)

I am trying to combine formulas here, to put color on specific cells (out of a specific range) when they are not empty, and when a checkbox in another cell is checked.

Here is what I tried :

=AND($D4=TRUE,$F04:AU<>””)

D4 is where the checkbox is, and if it is checked, the color must apply on the cells from F4 to AU only is they are not empty ! As you can see on the picture below, D column is ticked so the whole range is colored, but I need only where is is written "2" in that line.

Can someone help me ?

I tried the IF formula also, but could not get through. Same with AND and using TRUE, or ISBLANK for F4:AU.

I am stuck ^^

Thank you.

Lisa