To solve the expression \( (3 \cdot 2) \div (7 + 9 - 10) \), we'll follow the order of operations:
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Calculate the multiplication in the numerator: \[ 3 \cdot 2 = 6 \]
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Calculate the operation in the denominator: \[ 7 + 9 - 10 = 16 - 10 = 6 \]
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Now substitute back into the expression: \[ 6 \div 6 \]
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Finally, perform the division: \[ 6 \div 6 = 1 \]
Thus, the final result is: \[ \boxed{1} \]