Answer
$-55$
Work Step by Step
Using the order of operations on real numbers, the given expression, $
-7-(8+10\cdot2^2)
,$ evaluates to
\begin{array}{l}\require{cancel}
-7-(8+10\cdot4)
\\\\=
-7-(8+40)
\\\\=
-7-(48)
\\\\=
-7-48
\\\\=
-55
.\end{array}