+1 for adding Ibuprofen in addition to the Acetaminophen. The two work differently on reducing pain. As long as you stay within the label recommendations of each, you can take them at the same time. The combined pain killing effect is greater than either alone, and in some cases, equals that of low dose opioids.

I found this out about 10 years ago when I had surgery and was in a lot of post-operative pain. Any opioid they gave me provoked severe dizziness and vomiting. I was given them both and it controlled the pain. Other Doctors I'm asked since then confirm that this is an acceptable approach when the pain is not controllable by either alone.

The scenario I'm thinking of is a broken bone and the potential for serious pain. The combo might make the pain bearable. Plus, you don't have to worry about trying to carry around a controlled substance.

Note: always double check with your Doctor or Pharmacist; they may have a different opinion,
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"Better is the enemy of good enough."