To simplify the expression (24 ÷ 8 + 10) − 7, we can 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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First, perform the division: \[ 24 ÷ 8 = 3 \]
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Next, substitute the result back into the expression: \[ (3 + 10) − 7 \]
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Now, perform the addition: \[ 3 + 10 = 13 \]
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Finally, subtract 7: \[ 13 - 7 = 6 \]
Thus, the simplified expression is: \[ \boxed{6} \]