A blank screen is no fun, I feel your pain! My son had a similar issue with his iPhone, this is what he did to bring the screen back to life: swipe the phone to unlock it, (even though screen is blank you can hear phone unlock). Then press and hold down the home button for few seconds until you hear the beep that allows you to give phone a voice command. Then press the power button on top of phone and screen may work again (it did for my son).
If the above steps do not resolve the issue you may need to explore replacement options. Is your phone within the 12 month manufacturers' warranty? Do you have insurance on your phone? Is your line or any other line in your account eligible for upgrade?
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