Answer
$1-7i$
Work Step by Step
Removing the grouping symbols, the given expression, $
(-3-5i)+(4-2i)
,$ is equivalent to
\begin{align*}
-3-5i+4-2i
.\end{align*}
Combining the real parts and the imaginary parts, the expression above is equivalent to
\begin{align*}
&
(-3+4)+(-5i-2i)
\\&=
1+(-7i)
\\&=
1-7i
.\end{align*}
Hence, the simplified form of the given expression is $
1-7i
$.