Yes, the equation \((P - 2w)/2 = P/2 - 2w/2\) is correct. This is due to the distributive property of division over subtraction, which states that when you divide a difference by a number, you can distribute the division to each term in the difference.
Here's the breakdown:
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Start with the left side: \[ \frac{P - 2w}{2} \]
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Using the distributive property, you can separate it into two terms: \[ \frac{P}{2} - \frac{2w}{2} \]
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Simplifying \(\frac{2w}{2}\) gives: \[ \frac{P}{2} - w \]
So, the expression \((P - 2w)/2\) simplifies to \(\frac{P}{2} - w\). This is a simplified form of the original expression.
Thus, the simplified result is: \[ \frac{P - 2w}{2} = \frac{P}{2} - w \]