Answer
$4+1+(-2)+(-5)$
$-2$
Work Step by Step
$\sum_{i=1}^4(-3x_i-2)$
$=(-3x_1-2)+(-3x_2-2)+(-3x_3-2)+(-3x_4-2)$
$=(-3*(-2)-2)+(-3*(-1)-2)+(-3*0-2)+(-3*1-2)$
$=4+1+(-2)+(-5)$
$=\boxed{-2}$
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