1. The problem is to evaluate expressions using the BODMAS rule, which stands for Brackets, Orders (powers and roots), Division and Multiplication (left to right), Addition and Subtraction (left to right). 2. BODMAS helps us decide the order in which operations should be performed to get the correct answer. 3. For example, in the expression $3 + 6 \times (5 + 4) \div 3 - 7$, we first solve the bracket: $$5 + 4 = 9$$ 4. Then the expression becomes: $$3 + 6 \times 9 \div 3 - 7$$ 5. Next, we perform multiplication and division from left to right: $$6 \times 9 = 54$$ $$54 \div 3 = 18$$ 6. Now the expression is: $$3 + 18 - 7$$ 7. Finally, perform addition and subtraction from left to right: $$3 + 18 = 21$$ $$21 - 7 = 14$$ 8. So, the final answer is $14$. This method applies to all expressions to ensure correct evaluation by following BODMAS rules.