You don't need a sponsor for a tourist visa. Very few require that. Just go to the US consulate in Zimbabwe and apply for a tourist visa. You will have to show evidence that you have sufficient ties to your country that would incentivize your return home. That includes a job, real estate you own, family members etc. You also need to show why you're traveling here , how long you will stay and proof that you have sufficient resources. Don't say you plan to work or to even baby sit your brothers children. ( if any). USCIS will deny you.
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