To solve the equation \(-3(2w + 1) = 21\), follow these steps:

1. **Distribute** \(-3\) to both terms inside the parentheses:
   \[
   -3 \cdot 2w + (-3) \cdot 1 = -6w - 3
   \]
   So the equation becomes:
   \[
   -6w - 3 = 21
   \]

2. **Add 3** to both sides to isolate the term involving \(w\):
   \[
   -6w - 3 + 3 = 21 + 3
   \]
   Simplifying this gives:
   \[
   -6w = 24
   \]

3. **Divide by \(-6\)** to solve for \(w\):
   \[
   w = \frac{24}{-6} = -4
   \]

So, the solution is \(w = -4\).

Would you like a detailed explanation or have any questions? Here are some related questions for further practice:

1. How would you solve \(-4(3x - 2) = 28\)?
2. What is the value of \(x\) in \(5(2x + 3) = -40\)?
3. Solve for \(y\) in \(7(3y - 4) = 35\).
4. If \(k(4m - 5) = 16\), and \(k = -8\), what is \(m\)?
5. How would you check your solution to the equation \(-6w - 3 = 21\)?

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

Learn how to solve the equation -3(2w + 1) = 21 with a detailed step-by-step solution. This problem covers key algebraic concepts, including equations, the distributive property, and solving equations. Suitable for Grades 7-9 students.

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