This reaction is called Hell-Volhard-Zelinsky \((HVZ)\) reduction. This reaction is example of \(\alpha -H-\)substitution.
\(C{{H}_{3}}C{{H}_{2}}COOH\,\xrightarrow[-\,HBr]{B{{r}_{2}}/P}\) \(\begin{matrix}
\begin{matrix}
Br \\
| \\
\end{matrix}\,\,\,\,\,\, \\
C{{H}_{3}}-C-COOH \\
|\,\,\,\,\,\,\, \\
Br\,\,\,\, \\
\end{matrix}\)
$C{H_3}COOH\xrightarrow{{SOC{l_2}}}P\xrightarrow[{Anhyd.\,\,AlC{l_3}}]{{Benzene}}\,Q\,\xrightarrow{{HCN}}R\xrightarrow{{HOH}}S$