Answer
$-p-4$
Work Step by Step
Removing the grouping symbols and then combining like terms, the given expression, $
6+3p-(2p+1)-(2p+9)
,$ simplifies to
\begin{array}{l}\require{cancel}
6+3p-2p-1-2p-9
\\\\=
(3p-2p-2p)+(6-1-9)
\\\\=
-p-4
.\end{array}