Hepta-tuples

Algebra Level 5

1+a8+b8+c8+d8+e8+f8+g8=8abcdefg1+a^8+b^8+c^8+d^8+e^8+f^8+g^8=8abcdefg How many ordered tuples of real numbers a,b,c,d,e,fa,b,c,d,e,f and gg satsify the above equation?

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