#### Answer

$-6+14i$

#### Work Step by Step

Using $a(b+c)=ab+ac$, or the Distributive Property, and the properties of radicals, the given expression, $
2i(7+3i)
,$ simplifies to
\begin{array}{l}\require{cancel}
2i(7)+2i(3i)
\\\\=
14i+6i^2
\\\\=
14i+6(-1)
\\\\=
14i-6
\\\\=
-6+14i
.\end{array}