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You need to arrange the cards to get a solution, but the arrangement of the cards isn't in a very regular pattern.
There are two digits in the solution code.
It probably won't help much to start by using the colored paths to arrange the cards, although it's possible that you might solve it that way. The paths are important later.
The black numbers on the cards show how they should be arranged, but only some of them are used.
'One more toe' and 'One less egg' both refer to the same number, which is a clue for how to use the black numbers.
The clue about partners includes two mathematical terms. The list of numbers shows good and bad ways to pair numbers. Is there a pattern?
The gray zones on two of the cards show where another card rests on top of them. Only one of the colored paths shows the correct answer - the other two are decoys.
Look for pairs of numbers that add up to a multiple of the same base number. That's how you know how to connect the cards.
Find pairs of numbers that add up to a multiple of eleven. Put those together in two sets of cards, one set of four and one set of three. The green path on top of each group should sketch out a two-digit number. That's the solution.