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How many ordered sets of positive integers (a,b,c,d)(a, b, c, d)(a,b,c,d) satisfy the following equation?
a2+b2=7(c2+d2)a^2+b^2=7(c^2+d^2)a2+b2=7(c2+d2)
Note: I didn't come up with this problem.
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