# An interesting seven variable equation

$6654321a + 7554321b + 7644321c + 7653321d +\\ 7654221e + 7654311f + 7654320g = 296754624$

Determine the sum of the elements of all possible tuples $$(a,b,c,d,e,f,g)$$ of positive integers less than 10 that satisfy the equation above.

Note that the integers do not necessarily have to be distinct.

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