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Number Theory Level 3

\[ \begin{cases}{a^3=b^3+c^3-d^3} \\ {a \ \ =b+c-7d}\end{cases} \]

Positive integers \(a,b,c,d\) satisfy the above system of equations. Find the value of \(a+b+c+d\).

\[-32\] \[-23\] \[23\] \[32\]

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Excel in math and science

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by Harsh Shrivastava

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