To solve the equation \(-4(-x + 6) = -8\), follow these steps:

1. **Distribute** \(-4\) through the parentheses:
   \[
   -4 \cdot (-x) + (-4) \cdot 6 = -8
   \]

2. **Simplify** the terms:
   \[
   4x - 24 = -8
   \]

3. **Move the constant term** to the other side of the equation by adding 24 to both sides:
   \[
   4x - 24 + 24 = -8 + 24
   \]
   \[
   4x = 16
   \]

4. **Divide** both sides by 4 to solve for \(x\):
   \[
   x = \frac{16}{4}
   \]
   \[
   x = 4
   \]

So, the solution to the equation \(-4(-x + 6) = -8\) is:
\[
x = 4
\]

Would you like more details or have any questions?

Here are 8 related questions:
1. How do you apply the distributive property in algebraic equations?
2. What are the steps to isolate a variable in a linear equation?
3. How do you handle negative signs when distributing in algebra?
4. Can you solve the equation \(2(3x - 4) = 10\)?
5. How do you verify the solution to an algebraic equation?
6. What methods can be used to solve linear equations?
7. How do you move terms from one side of an equation to the other?
8. What is the importance of maintaining balance in an equation during solving?

**Tip:** Always perform the same operation on both sides of an equation to maintain balance and ensure your solution is correct.

Learn how to solve the equation -4(-x + 6) = -8 step-by-step with detailed explanations. This problem involves linear equations and the distributive property, suitable for students in Grades 7-9.

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