1. The problem is to multiply 75 by 67. 2. Write the multiplication as $75 \times 67$. 3. Multiply 75 by 60: $75 \times 60 = 4500$. 4. Multiply 75 by 7: $75 \times 7 = 525$. 5. Add the two results: $4500 + 525 = 5025$. 6. Therefore, $75 \times 67 = 5025$.