The payments to accounts are not lost or removed when campaigns paused or removed. Payments are made to accounts and then used by campaigns. You can simply make a new campaign and use your payments towards it and any other campaigns.
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In addition to James, if you want to have the same campaign again(ad groups, keywords, ads) which was erased by mistake, you can download that removed campaign(ads, keywords) as csv file and upload again using AdWords editor.
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