Compute the inverse Laplace transform:

$\displaystyle \mathcal{L}^{\text{-}1}\,\biggl\lbrace \frac{2s+7}{s^{2}+6s+9}e^{-2s} \biggr\rbrace =$

(Notation: write u(t-c) for the Heaviside step function $u_c(t)$ with step at $t=c$.)

If you don't get this in 2 tries, you can get a hint.