Answer
$6+6i$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To simplify the given expression, $
[(7+3i)-(4-2i)]+(3+i)
,$ remove the grouping symbols first. Then combine the real numbers and combine the imaginary numbers
$\bf{\text{Solution Details:}}$
Removing the grouping symbols, the expression above is equivalent to
\begin{array}{l}\require{cancel}
[7+3i-4+2i]+(3+i)
\\\\=
7+3i-4+2i+3+i
.\end{array}
Combining the real numbers and combining the imaginary numbers result to
\begin{array}{l}\require{cancel}
(7-4+3)+(3i+2i+i)
\\\\=
6+6i
.\end{array}
