The 10 letters a to k leaving out stand for the digits 0 - 9 but not necessarily in that order. find which letter stands to each digit if the following sums holds: A x B = B -F x H =CJ

B x C = AC - H x J = KJ

C x D = BC - J x K = E

D x E = CH - K x G = G

E x F = DK -A x G = G

Extension

Find the missing numbers for the sum:

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