Let's simplify the given expression:

$-8\sqrt{3} + 5\sqrt{12}$

Step 1: Simplify $\sqrt{12}$

$\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}$

Step 2: Substitute the simplified form of $\sqrt{12}$

$-8\sqrt{3} + 5\sqrt{12} = -8\sqrt{3} + 5(2\sqrt{3}) = -8\sqrt{3} + 10\sqrt{3}$

Step 3: Combine like terms

$-8\sqrt{3} + 10\sqrt{3} = (10 - 8)\sqrt{3} = 2\sqrt{3}$

Final Answer:

$2\sqrt{3}$

Would you like further clarification or additional steps explained?

Here are 5 related questions for further practice:

1. Simplify $-3\sqrt{5} + 2\sqrt{20}$.
2. What is the simplified form of $4\sqrt{2} - 6\sqrt{8}$?
3. Combine like terms: $7\sqrt{7} - 2\sqrt{7} + 3\sqrt{7}$.
4. How would you simplify $\sqrt{50} + \sqrt{18}$?
5. What is $\sqrt{32} - \sqrt{2}$?

Tip: When simplifying square roots, always check for perfect squares inside the radical, as it can help reduce the expression!