https://file.aiquickdraw.com/mathbot/file/1727103263837nt4h7ne0.jpg

The equation from the image is:

\[
2w + 9 = 8w + 21
\]

### Steps to solve for \( w \):

1. **Move the terms involving \( w \) to one side**:  
   Subtract \( 2w \) from both sides to simplify:
   \[
   9 = 6w + 21
   \]

2. **Move the constants to the other side**:  
   Subtract 21 from both sides to isolate the term with \( w \):
   \[
   9 - 21 = 6w
   \]
   Simplifies to:
   \[
   -12 = 6w
   \]

3. **Solve for \( w \)**:  
   Divide both sides by 6:
   \[
   w = \frac{-12}{6} = -2
   \]

### Final Answer:
\[
w = -2
\]

Would you like further details or explanations?

Here are some related questions you might find useful:
1. How do you move terms from one side of an equation to another?
2. What are the common techniques for solving linear equations?
3. How can you verify the solution of a linear equation?
4. What happens if you divide both sides of an equation by a variable?
5. How do you handle equations with fractions or decimals?

**Tip:** Always check your solution by substituting it back into the original equation!

Solve for w: 2w + 9 = 8w + 21. Simplify your answer as much as possible.

Learn how to solve the linear equation 2w + 9 = 8w + 21 with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equation manipulation and properties of equality. Suitable for students in Grades 7-9.

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