A 1/3+b1/3+c1/3 =0 then (a+b+c)3
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a1/3+b1/3+c1/3 =0
or,(3a+1)/3+(3b+1)/3+(3c+1)/3=0
or,(3a+1+3b+1+3c+1)/3=0
or,3a+3b+3c+3=0
or,3(a+b+c)=-3
a+b+c=-1
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