1. The problem is to understand and apply the BODMAS rule to evaluate expressions correctly. 2. BODMAS stands for Brackets, Orders (i.e., powers and roots), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). 3. This rule tells us the order in which to perform operations in a mathematical expression to get the correct answer. 4. For example, in the expression $3 + 6 \times (5 + 4) \div 3 - 7$, we first solve the bracket: $$5 + 4 = 9$$ 5. Then the expression becomes: $$3 + 6 \times 9 \div 3 - 7$$ 6. Next, we perform multiplication and division from left to right: $$6 \times 9 = 54$$ $$54 \div 3 = 18$$ 7. Now the expression is: $$3 + 18 - 7$$ 8. Finally, perform addition and subtraction from left to right: $$3 + 18 = 21$$ $$21 - 7 = 14$$ 9. So, the final answer is $14$. This step-by-step approach ensures the correct evaluation of expressions using BODMAS.