On my way home from work yesterday, the rear tire felt like it slid (big time) around two turns. This seemed too coincidental - that there were two slick spots, both in turns at lighted intersections - so I pulled over to inspect.
My chain was crazy-loose. After some deliberation, I decided the axle must be loose enough to slide around when I roll-on. But I don't have my breaker bar or rear stand - how am I going to fix this? So I roll the dice and spill the contents of the SV650's toolkit onto The asphalt.
-BAM! Pliers - I can remove the rear axle nut's cotter pin.
-POW! 24mm wrench with extender. I had to work at it, but I was able to break the rear axle nut.
-BOOM! An open-ended wrench that fits the chain adjustment nuts at the ends of the swing arm.
A few minutes and some greasy hands later I was back on the road conquering off-ramps - rear staying true. I guess it's a little late for me to be learning this, but you can do a lot with the stock toolkit on a motorcycle.