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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