To evaluate the expression:

\[ 5 \times \left(-\frac{6}{-3+6}\right) \]

Let's break it down step by step:

1. **Simplify the expression inside the parentheses**:
   \[
   -3 + 6 = 3
   \]

2. **Divide 6 by the result**:
   \[
   \frac{6}{3} = 2
   \]

3. **Multiply by -1**:
   \[
   -2
   \]

4. **Finally, multiply by 5**:
   \[
   5 \times (-2) = -10
   \]

So, the value of the expression is \(-10\).

Would you like more details or have any questions about this solution? 

Here are 5 related questions to consider:
1. What happens if the signs of the numbers in the original expression change?
2. How would the expression change if division and multiplication were swapped?
3. What if the expression had exponents included? How would that change the evaluation?
4. How does the order of operations affect the final result?
5. What if a fraction was included in the expression?

**Tip:** Always perform operations inside parentheses first, followed by exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

Learn how to solve the expression 5 times (-6 / (-3 + 6)) with a detailed step-by-step solution. This problem involves arithmetic operations, negative numbers, and division. Suitable for students in Grades 6-8.

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