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\( 24 \div 6 + 4 \times (3 + 6) = 4 + 4 \times 9 = 4 + 36 = 40 \)
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To solve the expression \( 24 \div 6 + 4 \times (3 + 6) \), we start with the parentheses. First, calculate \( 3 + 6 \) which equals \( 9 \). Now replace the parentheses in the expression: \( 24 \div 6 + 4 \times 9 \). Next, perform the division: \( 24 \div 6 = 4 \). Now, multiply: \( 4 \times 9 = 36 \). Finally, add the results together: \( 4 + 36 = 40 \). So, \( 24 \div 6 + 4 \times (3 + 6) = 40 \).