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Go to settings --> mail --> choose hotmail account --> Delete account
Then go back to settings --> mail --> add account --> outlook.com --> fill out information to add new email
to change it for icloud
settings --> icloud --> name/email -->contact information --> add another email, then make the new one primary
The below doesn't work?
The new email you added, can you make it primary? You may get an email needing to confirm the email account.
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