I personally don't like the method in that link. I've tried it and it's not easy. I don't separate the arm. Remove the set screw that holds the throttle linkage to the arm (just so the arm isn't sprung anymore and you can move it freely and easily). Then there are two screws that hold the slide arm to the slide. You can actually see them in your picture. Down the slide you can see two small dark screws on a plate. Just get a small (and thin) screwdriver and press firmly and unscrew. Make sure the driver feels like it fits snugly in the screw head, don't want to strip it. I put a file to a screw driver to make it more of a blunt tip and not a sharp point. Seemed to help a lot. It's kind of frustrating because you have to manipulate the arm back and forth to actually get at those screws but it's not too hard. Once you get those screws off just lift the arm and then you can lift out the slide. Just keep each slide with each carb. And note which orientation the slides are in the cylinder. With the angled cutaway facing the airbox.
For assembly it's best to use a magnetic screwdriver so you can lower those small screws into their home and screw away. You can make any screw driver magnetic, just do a YouTube search.
This isn't my method. I found it somewhere on this site but can't remember where.
But to answer your other question, yes the needle will raise when you adjust the slide adjuster just because it's attached to the slide, but that's not how you do it. You raise the needle from the clip positions. You want to raise only the needle when adjusting the needle.
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1978 Honda CB550K