To evaluate the expression \( 18 \div (2 + 4) + 3 \times 2 \), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
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Start with the expression inside the parentheses: \[ 2 + 4 = 6 \]
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Substitute back into the expression: \[ 18 \div 6 + 3 \times 2 \]
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Now, perform the division: \[ 18 \div 6 = 3 \]
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Next, perform the multiplication: \[ 3 \times 2 = 6 \]
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Finally, add the results: \[ 3 + 6 = 9 \]
Thus, the value of the expression \( 18 \div (2 + 4) + 3 \times 2 \) is \( \boxed{9} \).