1. **State the problem:** Simplify the expression $\frac{18}{3}(4+2)-5$. 2. **Apply the order of operations (PEMDAS/BODMAS):** - Parentheses first: Calculate $4+2$. 3. **Calculate inside the parentheses:** $$4+2=6$$ 4. **Rewrite the expression:** $$\frac{18}{3} \times 6 - 5$$ 5. **Perform division and multiplication from left to right:** - First, divide $18$ by $3$: $$\frac{18}{3} = 6$$ - Then multiply by $6$: $$6 \times 6 = 36$$ 6. **Subtract $5$ from the result:** $$36 - 5 = 31$$ **Final answer:** $31$