Answer
$-7-10i$
Work Step by Step
Removing the grouping symbols, the given expression, $
(-6-7i)-(1+3i)
,$ is equivalent to
\begin{align*}
-6-7i-1-3i
.\end{align*}
Combining the real parts and the imaginary parts, the expression above is equivalent to
\begin{align*}
&
(-6-1)+(-7i-3i)
\\&=
-7+(-10i)
\\&=
-7-10i
.\end{align*}
Hence, the simplified form of the given expression is $
-7-10i
$.