To solve the equation \( 2(w - 4) = 10 \), follow these steps:

1. **Distribute the 2** on the left-hand side:
   \[
   2 \cdot w - 2 \cdot 4 = 10 \quad \Rightarrow \quad 2w - 8 = 10
   \]

2. **Add 8** to both sides to eliminate the constant term from the left-hand side:
   \[
   2w = 10 + 8 \quad \Rightarrow \quad 2w = 18
   \]

3. **Divide both sides by 2** to solve for \( w \):
   \[
   w = \frac{18}{2} \quad \Rightarrow \quad w = 9
   \]

Thus, the solution is \( w = 9 \).

Would you like a more detailed explanation or have any questions?

Here are some related questions for further practice:

1. Solve \( 3(x - 5) = 15 \).
2. Solve \( 5(y + 2) = 25 \).
3. Solve \( 4(z - 3) = 12 \).
4. Solve \( 2(a - 6) = 16 \).
5. Solve \( 6(b + 1) = 18 \).

**Tip:** When solving equations, always simplify both sides step by step to isolate the variable.

Learn how to solve the linear equation 2(w − 4) = 10 with step-by-step instructions. This problem covers key algebraic concepts such as the distributive property and isolating variables. Suitable for students in Grades 6-8.

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