on that adjusting cup/ lockring combo having the correct wrench for the adj cup is more important IMHO. while other tools will work it is of course much easier with it. a big adjustable wrench might work but I always found them unweildy.
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“One morning you wake up, the girl is gone, the bikes are gone, all that's left behind is a pair of old tires and a tube of tubular glue, all squeezed out"
Sugar "Kane" Kowalczyk