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You should be able to do just that by tracking the App Store down in your iPhone's App Library. Here's a quick primer on how to hide and re-add the App Store to your iPhone's home screen.
Reorganizing your home screen is faster with the batch app removal feature. Enter jiggle mode by long-pressing an app, then select multiple apps to move them to the app library in one action.
If you're trying to find your Apple App Store and it's nowhere to be seen, don't panic. There are ways to bring it back to your iPhone Home Screen.