You are not just walking from your W-2 job to your 1099 job - you are driving home from your W-2 job, going shopping, whatever, then driving back to do your1099 work.
It would be the same if your 1099 job were somewhere else. So long as you ae not conflating your mileage for the 1099 job with the commute for the W-2 job (never mind that they are to the same place), just review James' answer.
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