Let's solve the equation \([-a + 2] + 9 = 6\).

### Step-by-Step Solution:
1. Start with the equation:
   \[
   [-a + 2] + 9 = 6
   \]
2. Subtract 9 from both sides to isolate the expression in the brackets:
   \[
   -a + 2 = 6 - 9
   \]
3. Simplify the right side:
   \[
   -a + 2 = -3
   \]
4. Subtract 2 from both sides to isolate \(-a\):
   \[
   -a = -3 - 2
   \]
5. Simplify the right side:
   \[
   -a = -5
   \]
6. Multiply both sides by \(-1\) to solve for \(a\):
   \[
   a = 5
   \]

So, \(a = 5\).

Would you like any further details or have any questions?

### Related Questions:
1. What is the value of \( a \) if \([-a + 3] + 7 = 10\)?
2. How do you solve the equation \([-b + 4] - 5 = 0\]?
3. What happens to the solution if the equation was \([-a + 2] - 9 = 6\)?
4. How do you solve the equation \([a - 2] + 4 = 0\)?
5. What is the effect of changing the constant on both sides in equations like \([-a + 2] + 9 = 6\)?

### Tip:
When working with brackets in an equation, always handle the operations inside the brackets first before addressing other terms outside of them.

Learn how to solve the equation [-a + 2] + 9 = 6 with a detailed step-by-step solution. Understand the process of isolating variables and simplifying expressions. Suitable for students in Grades 7-9 studying algebraic equations.

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