1. **State the problem:** Simplify the expression $$6 \div 2(15 + 20)$$.
2. **Apply the order of operations (PEMDAS/BODMAS):**
- First, solve the parentheses.
- Then, handle multiplication and division from left to right.
3. **Calculate inside the parentheses:**
$$15 + 20 = 35$$
4. **Rewrite the expression:**
$$6 \div 2(35)$$
5. **Interpret multiplication next to parentheses as multiplication:**
$$6 \div 2 \times 35$$
6. **Perform division and multiplication from left to right:**
$$6 \div 2 = \cancel{6 \div 2} = 3$$
7. **Multiply the result by 35:**
$$3 \times 35 = 105$$
**Final answer:** $$105$$
Simplify Expression 3Ab4E6
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