The given equation is:  
\[ 6 + [5 + (-6)] = [6 + (-6)] + 5 \]

To verify if this equation is true, we will simplify both sides step-by-step.

**Left-hand side (LHS):**  
\[ 6 + [5 + (-6)] \]
\[ 5 + (-6) = -1 \]
\[ 6 + (-1) = 5 \]

**Right-hand side (RHS):**  
\[ [6 + (-6)] + 5 \]
\[ 6 + (-6) = 0 \]
\[ 0 + 5 = 5 \]

Both sides simplify to 5. Therefore, the equation is true:
\[ 6 + [5 + (-6)] = [6 + (-6)] + 5 \]

This demonstrates the associative property of addition, where the grouping of numbers does not affect the sum.

Would you like more details or have any questions?

Here are 8 related questions:
1. What is the associative property of addition?
2. How does the associative property differ from the commutative property?
3. Can the associative property be applied to multiplication as well?
4. What happens if we apply the associative property to subtraction?
5. How do we handle associative property with variables?
6. Can you provide another example of the associative property?
7. What is the distributive property and how does it differ from the associative property?
8. How can we use properties of addition to simplify algebraic expressions?

**Tip:** When dealing with negative numbers, always pay attention to the signs to avoid calculation errors.

Explore the associative property of addition with negative numbers through an example problem: 6 + [5 + (-6)] = [6 + (-6)] + 5. Learn step-by-step how to verify and apply this property. Suitable for students in Grades 5-7.

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