Sure they, do, the problem makes no sense as stated. The solution to the stated problem is to remove all weights all at once, solved. Or even two at a time, opposite the centre of gravity. Solved, but not what you're asking I assume?

You didn't even label your ASCII art, so I've no clue what you mean, are the bars at the end the supports or weights? Can I only remove one weight at a time? Initially I assumed you mean a weightlifting bar the weights on which can only be removed from its ends. Is that the case or what? What's the double slash in the middle?

Also: "what order and/or arrangement or of removing the weights" this isn't even correct English. Arrangement of removing the weights? State the problem clearly, from first principles, like you were talking to a 5 year old.

The sibling comment is correct, you're clearly picturing something in your mind that you're failing to properly describe. It seems obvious to you, but it's not.