apache2 not starting after purge and re-install

In 14.04, the apache binaries are located in apache2-bin.

Since you are missing the binaries, you can try reinstalling that package along with apache2.

sudo apt-get install --reinstall apache2 apache2-bin

Then try starting apache again, (Although I believe apache will auto-start itself after installation)

sudo apache2ctl start

Apache2's binaries are in apache2-bin.

Try:

sudo apt-get --purge remove apache2*
sudo apt-get --purge autoremove
sudo apt-get install apache2

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