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If a, b, c, d are real numbers 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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