Answer
$-2a+14$
Work Step by Step
Using $a(b+c)=ab+ac$ (or the Distributive Property), and then combining like terms, the given expression, $
2[2a+1-(3a-6)]
,$ simplifies to
\begin{array}{l}\require{cancel}
2[2a+1-3a+6]
\\\\=
2[-a+7]
\\\\=
-2a+14
.\end{array}