To solve the equation \(-4(w + 1) = -24\), follow these steps:

1. **Distribute the \(-4\) across the parentheses:**

   \[
   -4 \cdot w - 4 \cdot 1 = -4w - 4
   \]

   So the equation becomes:

   \[
   -4w - 4 = -24
   \]

2. **Add 4 to both sides to isolate the term involving \(w\):**

   \[
   -4w - 4 + 4 = -24 + 4
   \]

   Simplifying this:

   \[
   -4w = -20
   \]

3. **Divide both sides by \(-4\) to solve for \(w\):**

   \[
   w = \frac{-20}{-4} = 5
   \]

So, the solution is \(w = 5\).

Would you like more details or have any questions? Here are 5 related questions to expand your understanding:

1. How would the solution change if the equation were \(-4(w + 2) = -24\)?
2. What happens if you multiply both sides of the equation by \(-1\) before solving?
3. How can you verify that \(w = 5\) is the correct solution?
4. What are the steps to solve the equation if the coefficient of \(w\) was a fraction instead of an integer?
5. How would you solve the equation if it included a term like \(-4(w + 1) + 3 = -24\)?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the equation -4(w + 1) = -24 with a step-by-step solution. This problem involves linear equations and the distributive property. Suitable for students in Grades 6-8.

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