Let's simplify the expression \( 7w - (3x - 8) \).

When you have a minus sign in front of a parenthesis, you need to distribute it across all terms inside the parenthesis:

\[
7w - (3x - 8) = 7w - 3x + 8
\]

So, the simplified expression is:

\[
7w - 3x + 8
\]

This is the same expression you provided earlier, just obtained through distribution.

Would you like more details on this process or have any other questions?

Here are some related questions you might consider:

1. What happens if you have a plus sign instead of a minus sign outside the parentheses?
2. How does distribution work with multiple variables inside the parentheses?
3. What if there was a coefficient in front of the parentheses, like \( 2(3x - 8) \)?
4. Can you graph this expression if you solve for \( w \) or \( x \)?
5. What would happen if you added another variable to the expression, like \( +2y \)?

**Tip:** Always be careful with signs when distributing across parentheses, especially with subtraction, as it can change the sign of every term inside the parentheses.

Learn how to simplify the expression 7w - (3x - 8) step-by-step. Understand the distributive property and simplification techniques in algebra. Suitable for students in Grades 7-9.

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