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I really don't like math (Canterbury) Mystery Cache

This cache has been archived.

GYARGH: Archiving post-earthquake

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Hidden : 7/29/2009
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:

The third cache in what has become something of a 'series'. I don't hate math yet, but I'm still not a fan. Solve the puzzle to obtain the coords for the cache.

To solve this puzzle you must work out what value each letter has. The rules are: (1) all the letters are equal to a digit between one and the number of letters in the puzzle, and (2) none of the letters are equal to each other. For example, if there are six letters, each will equal a number from 1 to 6. Since no letter equals another, all six values will be used. I've included an easy practice example in the gallery, to help you get into the swing of things.

The Puzzle
1. A + C + G = B + E
2. B + E = F + 1
3. A + E = D + 1
4. D +2G = F

The Coordinates
S 43 31.(A-E)(B-C)(F+G)
E172 39.(D+G)(B-D)(E+A)

You will be looking for a 400ml snaplock container holding a log, pencil, sharpener and small swaps.

Additional Hints (Decrypt)

[cache] ybj, pehzoyvat oevpx

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)