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Sc., "for my anger and my harshness" (Razi).
As Moses was convinced that his brother was guiltless, his wrath was turned to gentleness. He prayed for forgiveness-for himself and his brother: for himself because of his wrath and for his brother because he had been unable to suppress idolatry among his people. And like a true leader that he is, he identifies himself with his lieutenant for all that has happened. Even more, he identifies himself with his whole people in his prayer in verse 155 below. Herein, again, is a type of what the Holy Prophet Muhammad did for his people.