Abstain to Keep from Hurting the Weaker Brother (10:28-30)
But if you're challenged by someone concerning the history of the meat you're eating, Paul says, don't eat it.
"28 But if anyone says to you, 'This has been offered in sacrifice,' then do not eat it, both for the sake of the man who told you and for conscience' sake -- 29 the other man's conscience, I mean, not yours." (10:28-29)
If there's a young believer present who begins to inquire about the history of this particular meat and learns that it has been offered in sacrifice, don't eat it then, because you'll offend his tender conscience, a matter Paul discussed above at 8:7-13.
But be clear, says Paul, that this is a temporary concession to the weaker brother -- not a change in your own principles. Paul qualifies his statement:
"29 ... the other man's conscience, I mean, not yours. For why should my freedom be judged by another's conscience? If I take part in the meal with thankfulness, why am I denounced because of something I thank God for? (10:29-30)
We are to be concerned about causing others to sin, not limiting our own freedom in Christ when that person isn't present.