Should he obey his father and shave people’s beards in his shop?

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Check below answers in case you are looking for other related questions:
Taking payment for shaving beards is haraam
Ruling on shaving another man’s beard

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Related Answers:
He wants to get married but his father is refusing
His family have cut him off because he got married without their approval
How should the Muslim honour his parents?
Taking payment for shaving beards is haraam
Ruling on shaving another man’s beard

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