Let's simplify each term before combining them:
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\(2 \sqrt{8}\): \[ 2 \sqrt{8} = 2 \sqrt{4 \cdot 2} = 2 \cdot 2 \sqrt{2} = 4\sqrt{2} \]
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\(-\sqrt{32}\): \[ -\sqrt{32} = -\sqrt{16 \cdot 2} = -4\sqrt{2} \]
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\(2 \sqrt{72}\): \[ 2 \sqrt{72} = 2 \sqrt{36 \cdot 2} = 2 \cdot 6 \sqrt{2} = 12\sqrt{2} \]
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\(-\sqrt{75}\): \[ -\sqrt{75} = -\sqrt{25 \cdot 3} = -5\sqrt{3} \]
Now we can combine the like terms:
Combining the terms involving \(\sqrt{2}\): \[ 4\sqrt{2} - 4\sqrt{2} + 12\sqrt{2} = (4 - 4 + 12) \sqrt{2} = 12\sqrt{2} \]
And we still have \(-5\sqrt{3}\) remaining, so the complete expression is: \[ 12\sqrt{2} - 5\sqrt{3} \]
Thus, the answer is: A. \(2 \sqrt{8} - \sqrt{32} + 2 \sqrt{72} - \sqrt{75} = 12\sqrt{2} - 5\sqrt{3}\).