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Step 1:I'll solve this step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Identify the radicals
- We have two terms: $$-12\sqrt{12}$$ and $$-2\sqrt{3}
Step 3:: Simplify \sqrt{12}
- $$\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3}
- \sqrt{12} = 2\sqrt{3}
Step 4:: Rewrite the first term
- $$-12\sqrt{12} = -12(2\sqrt{3})
- - 12\sqrt{12} = - 24\sqrt{3}
Step 5:: Combine like radicals
- $$= -26\sqrt{3}
- = (- 24 - 2)\sqrt{3}
Final Answer
- 26\sqrt{3}
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