Answer
$-6$
Work Step by Step
Using the order of operations on real numbers, the given expression, $
3\cdot(-2)\cdot(-1)\cdot(-1)
,$ evaluates to
\begin{array}{l}\require{cancel}
-6\cdot(-1)\cdot(-1)
\\\\=
6\cdot(-1)
\\\\=
-6
.\end{array}