To find the value that correctly fills in the blank in the equation \( 32 + 72 = _ (4 + 9) \), we first need to simplify both sides of the equation.
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Calculate the left-hand side: \[ 32 + 72 = 104 \]
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Next, simplify the right-hand side, focusing on \( 4 + 9 \): \[ 4 + 9 = 13 \]
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Now, we can rewrite the equation using the value we've calculated: \[ 104 = _ \times 13 \]
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To find the value of the blank (let's denote it as \( x \)), we can solve for \( x \): \[ x \times 13 = 104 \] \[ x = \frac{104}{13} \]
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Performing the division: \[ \frac{104}{13} = 8 \]
Thus, the value that correctly fills in the blank is \( \boxed{8} \).