To solve the equation \( 3w + \frac{2y}{x} = 4 \) for \( w \), follow these steps:

### Step 1: Isolate the term containing \( w \).
Subtract \( \frac{2y}{x} \) from both sides:
\[
3w = 4 - \frac{2y}{x}
\]

### Step 2: Solve for \( w \).
Now, divide both sides by 3 to isolate \( w \):
\[
w = \frac{4 - \frac{2y}{x}}{3}
\]

### Step 3: Simplify (if needed).
You can leave the expression as is, or simplify it further:
\[
w = \frac{4}{3} - \frac{2y}{3x}
\]

Thus, the solution for \( w \) is:
\[
w = \frac{4}{3} - \frac{2y}{3x}
\]

Would you like further details on any step, or have any questions?

Here are 5 related questions you might find useful:
1. How would the solution change if there were an additional term involving \( w \)?
2. What happens if \( y = 0 \) in the equation?
3. How can this equation be applied in a real-world scenario?
4. How would you solve for \( x \) instead of \( w \)?
5. How does the solution change if you multiply both sides by \( x \)?

**Tip:** When solving for a variable, always start by isolating the term that contains the variable you're solving for.

This tutorial provides a step-by-step guide to solving the linear equation 3w + 2y/x = 4 for the variable w. The problem focuses on basic algebraic manipulation, making it suitable for students in Grades 7-9.

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