https://file.aiquickdraw.com/mathbot/file/1727047920482s97wq9ar.jpg

The problem extracted from the image is:

\[
\text{Solve } 3w + 7 = 19.
\]

### Steps to solve for \( w \):
1. Subtract 7 from both sides:
   \[
   3w + 7 - 7 = 19 - 7
   \]
   \[
   3w = 12
   \]

2. Divide both sides by 3:
   \[
   w = \frac{12}{3} = 4
   \]

Thus, \( w = 4 \).

Would you like further clarification on any step?

Here are 5 related questions you might find helpful:
1. How would the solution change if the equation were \( 4w + 7 = 19 \)?
2. What if the constant on the right side was 25 instead of 19?
3. How can you verify the solution is correct?
4. What if the equation was \( 3w - 7 = 19 \) instead?
5. How do you handle equations with variables on both sides?

**Tip:** Always check your solution by substituting the value of the variable back into the original equation.

Learn how to solve the linear equation 3w + 7 = 19 using a simple, step-by-step approach. This algebraic problem is ideal for students in Grades 6-7 and reinforces the concept of isolating variables and basic arithmetic operations.

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