An algebra problem by math man

Algebra Level 1

Given that aa, bb, cc, dd and ee are real numbers such that

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

then find the value of a+b+c+d+ea+b+c+d+e.

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