Makes me wonder

Algebra Level 5

If \(a, b, c, d\) are real values that satisfy the system of equations:

\(abc + ab +bc + ca + a + b + c = 71\)
\(bcd + bc + cd + db + b + c + d = 191\)
\(cda + cd + da + ac + c + d + a = 95\)
\(dab + da + ab + bd + d + a + b = 143\)

Evaluate the value of \(abcd + a + b + c + d\).

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