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This will be the official Twitter application. " The application is also free on Android devices. If you haven’t left the Twitter install page of Google Play, you can just tap on Open. If not, go to your list of applications and look for the icon there. If you don’t have an account, you will need to create one.
Open Google Play from your android device’s applications page. Type "Twitter" into the search box. Click on the first application to pop up. Click on "Install. Open the app. Log in to your Twitter account.