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Dr. Lavelle uses FC=valence electrons - (free electrons + bound electrons/2) because it helps us to understand that each line, or bond, in the Lewis structure represents 2 electrons. You can also use FC=valence electrons - (dots+lines) though because counting each line is the same thing as multiplying each line by 2 to get the amount of electrons and then dividing it by two in the equation. The bottom line is that we should be memorizing concepts not equations.
You can use both, but make sure you understand why they both work! The "dashes" represent bonds, which in the lecture formula is represented by the /2, so the numbers will come out the same for this reason.
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