When a Muslim says du’aa’, should he start with du’aa’ for himself or for others?

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Check below answers in case you are looking for other related questions:
Is saying "Sadaqa Allaahu al-'Azeem " after reciting from Qur'an bid'ah?
Saying “Sadaqa Allaah al-‘Azeem”

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Related Answers:
Is it mustahabb to offer du‘aa’ when rain is falling? What should be said when rain falls and when hearing thunder?
Qunoot should be said at times of calamity with a supplication that is appropriate, not with Du’aa’ al-Qunoot
What is the benefit of praying istikhaarah when things are already decreed?
Is saying "Sadaqa Allaahu al-'Azeem " after reciting from Qur'an bid'ah?
Saying “Sadaqa Allaah al-‘Azeem”

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