1. **State the problem:** Simplify the expression $$2(7+2\times 3)+4 \div \frac{1}{6}$$. 2. **Recall order of operations (PEMDAS/BODMAS):** - Parentheses/Brackets - Exponents/Orders - Multiplication and Division (left to right) - Addition and Subtraction (left to right) 3. **Evaluate inside the parentheses first:** $$7 + 2 \times 3 = 7 + 6 = 13$$ 4. **Substitute back:** $$2 \times 13 + 4 \div \frac{1}{6}$$ 5. **Perform multiplication and division from left to right:** - Multiply: $$2 \times 13 = 26$$ - Divide: $$4 \div \frac{1}{6} = 4 \times 6 = 24$$ 6. **Now add the results:** $$26 + 24 = 50$$ **Final answer:** $$50$$