I have a 2002 zx600e kawasaki , ninja. How do I remove the front tire to fix the speed assembly ?

NINJA ZX600E MANUAL Jim, Check the attached links,instruction and guides, Good luck
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Repair Manual Download PDF Format
Kawasaki Motorcycle Service Manuals
Kawasaki Service Repair Manual Download
94 KAWASAKI NINJA ZX600E MANUAL Google Search
http://www.carlsalter.com/motorcycle-manuals.asp
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YOU COULD REMOVE THE TENSIONER ANDREPLACE IT AFTER YOU HAVE RELAXED THE TENSION SPRING ,THEN REPLACE IT USING CAUTION AS TO NOT LET TENSIONER SPRING PUSHTHE PLUNGER TOO FAR AGAINST TIMING CHAIN

batt could be slightly weak-maybe at 12.4volts--test it for 12.6 the standard------chec connections---------also carbs cud need pro cleanin and ajust

need more info mate

You need to let all of the air out of tire, break the bead off of the rim and pry the tire off of the rim. I recommend taking it to a shop and having it changed on a tire machine to avoid chipping or scratching the rim.

you need to raise front wheel from ground with hoist or stand
remove brake calliper bolts and then twist callipers on disc to push pads back so that you can remove callipers.
loosen pinch bolts on one fork leg then undo axle nut ( large allan bolt) loosen other pinch bolts on other leg and remove axle and spacers/speedo drive and the wheel. take note where spacers go and also make sure to line up speedo drive tangs correctly when refitting wheel in reverse order to taking apart.

Unscrew the connector at the front wheel. If you can reach the connector under the speedometer unscrew it. If you can not reach it you will have to take the parts in your way off. I would suggest a careful examination using a mirror to see if it can be done with very few items removed. A dentists mirror is ideal for this. Otherwise take pictures as you go to aid re-assembly. You may get away with merely removing the upper fairing. Good Luck.

SOUNDS LIKE ITS TIME FOR A NEW FRONT TIRE OR A STEERING DAMPNER, DO NOT OVERTIGHTEN STEERING HEAD NUT THIS COULD CAUSE UNSAFE CONDITION

If you need further help, I’m available over the phone at https://www.6ya.com/expert/michael_00678fd4800d19c5

You can take a pair of pliers and grab on the push nuts. The Power Wheels push nuts will need to be replaced when you change the new wheels.
Hope this helps