Answer
Zero.
Work Step by Step
$i=0,~1,~2,...,~n$
$Σ(x_i-μ)=Σx_i-Σμ$
But, $μ=\frac{Σx_i}{n}$ -> $Σx_i=nμ$
Also $Σμ=μ+μ+μ+...+μ=nμ$
So:
$Σ(x_i-μ)=Σx_i-Σμ=nμ-nμ=0$
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