%%
%% The LaTeX Companion, 3ed
%%
%% Example 5-6-6 on page I-419 in "nextpage --- Extensions to \protect \nxLcs  {clearpage}".
%%
%% Copyright (C) 2022 Frank Mittelbach
%%
%% It may be distributed and/or modified under the conditions
%% of the LaTeX Project Public License, either version 1.3c
%% of this license or (at your option) any later version.
%%
%% See https://www.latex-project.org/lppl.txt for details.
%%

\documentclass{tlc3exa}
\pagestyle{empty}
\setcounter{page}{6}
\setlength\textwidth{95.40097pt}

  \setlength\textheight{6\baselineskip}
  \addtolength\headsep{-12pt}

  \setcounter{page}{7}     % right-hand page
  \setcounter{section}{3}  % and a section level other than 1

%StartShownPreambleCommands
\usepackage{nextpage}\pagestyle{headings}
\newcommand\myclearpage{\cleartooddpage
  [\vspace*{\stretch{1}} \centering
   BLANK PAGE \vspace*{\stretch{2}}]}
%StopShownPreambleCommands

\begin{document}
\section{A Test}
\subsection{A subsection}
Some text for our page. Then a blank page.
\myclearpage
\section{Another Section}
This would appear on page 9 (not shown).
\end{document}