An algebra problem by math man

Algebra Level 1

Given that \(a\), \(b\), \(c\), \(d\) and \(e\) are real numbers such that

\[a+b=2, \\
b+c=3, \\
c+d=4,\\
d+e=5,\\
e+a=6,\]

then find the value of \(a+b+c+d+e\).

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