Yes, both are fine.
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CalifJimNeither one makes sense.I agree with CJ, the sentence some how seemed incomplete and has a dangling feel to it.
Suppose you use "that". Peter was so excited that ... suggests that being excited will lead to a certain result
wangqh26961221) Do you mean that so must have its corresponding that?No. It just seemed to me that it needed a that the first time I read your sentence. And the answer was supposed to be that, so I associated so with that. The reading that Mr. M. sees there does not associate so with that in the same way as I did.