For your information, the minimalist version of Blankon linux distribution (with LXDE desktop) does not have OpenOffice in its default install.
First, I have the DEB installer from InfoLINUX magazine CD bonus (10/2009).
I copy folder [openoffice.org-3.1.1] to my home folder.
Then I change the permission setting by marking “Write” option in the “Properties” after a right-click on the folder.
There I find [OOo_3.1.1_LinuxIntel_install_en-US_deb.tar.gz] archive file.
Open and extract it, then I have [OOO310_m19_native_packed-1_en-US.9420] folder.
There is [DEBS] folder that contains … well … deb files required to install.
Open terminal and install
$ sudo dpkg -i /home/username/openoffice.org-3.1.1/OOO310_m19_native_packed-1_en-US.9420/DEBS/*.deb
To show shortcut on the menu
$ sudo dpkg -i /home/username/openoffice.org-3.1.1/OOO310_m19_native_packed-1_en-US.9420/DEBS/desktop-integration/*.deb