To simplify the expression \(-8 \sqrt{48} - 7 \sqrt{27}\), we start by simplifying the square roots.
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Simplifying \(\sqrt{48}\): \[ \sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \cdot \sqrt{3} = 4\sqrt{3} \] Therefore, \[ -8 \sqrt{48} = -8 \times 4\sqrt{3} = -32\sqrt{3} \]
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Simplifying \(\sqrt{27}\): \[ \sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \cdot \sqrt{3} = 3\sqrt{3} \] Therefore, \[ -7 \sqrt{27} = -7 \times 3\sqrt{3} = -21\sqrt{3} \]
Now we can combine the two simplified terms: \[ -32\sqrt{3} - 21\sqrt{3} = (-32 - 21)\sqrt{3} = -53\sqrt{3} \]
Thus, the final result is: \[ \boxed{-53\sqrt{3}} \]