No, you would only be eligible to work for the E-2 business. If you are married and your wife qualifies for E-2 visa, sometimes putting business in spouse's name can help in a situation like yours as a dependent spouse is eligible for a work perit.
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As my colleagues correctly point out ... you can only work at the gas station with your E-2.
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How much do you have to invest? There are other options than the E2 visa if you have sufficient funds.
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No, you wouldn't be able to. However, perhaps if you are married, your spouse can be the principal on your E-2 visa. As the spouse of an E-2 principal, you would be eligible to receive work authorization and would not have to work for the E-2 enterprise. There may be other strategic options to accomplish your goals as well. I would strongly suggest consulting with an immigration attorney. Best of luck!