Let's solve the equation \( 4w - 6 = 10 \).

### Step 1: Add 6 to both sides to eliminate the constant on the left-hand side.
\[
4w - 6 + 6 = 10 + 6
\]
\[
4w = 16
\]

### Step 2: Divide both sides by 4 to solve for \( w \).
\[
\frac{4w}{4} = \frac{16}{4}
\]
\[
w = 4
\]

The solution is \( w = 4 \).

Would you like further details, or do you have any questions?

Here are 5 related questions:
1. How would you solve \( 5w - 7 = 18 \)?
2. What is the value of \( w \) in \( 3w + 8 = 23 \)?
3. How do you check if a solution to an equation is correct?
4. How would you solve \( 2w - 4 = 12 \)?
5. What happens if you subtract 6 from both sides of \( 4w + 6 = 10 \)?

**Tip:** When solving equations, always aim to isolate the variable by performing inverse operations!

Learn how to solve the linear equation 4w - 6 = 10 with a clear step-by-step explanation. This example covers key algebra concepts such as inverse operations and isolating the variable. Ideal for students in Grades 6-8.

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