Let's simplify the expression \( -2(n - 9) + 4 \).

1. First, distribute the \(-2\) across the terms inside the parentheses:
   \[
   -2(n - 9) = -2n + 18
   \]
   
2. Now substitute this back into the original expression:
   \[
   -2n + 18 + 4
   \]
   
3. Combine the constants \(18\) and \(4\):
   \[
   -2n + 22
   \]

So, the simplified expression is:
\[
-2n + 22
\]

Would you like more details or have any other questions?

Here are 5 related questions:
1. How do you simplify \(3(n - 5) + 2\)?
2. What happens if you have more than one set of parentheses, like in \(2(n - 4) - 3(n + 1)\)?
3. How would you solve \( -2n + 22 = 0 \)?
4. Can you factor \( -2n + 22 \)?
5. What would the expression look like if the constant \(4\) was negative?

**Tip:** Always handle distribution carefully before combining like terms when simplifying expressions.

Learn how to simplify the algebraic expression −2(n − 9) + 4 using the distributive property. This detailed solution demonstrates key algebraic techniques like distributing constants and combining like terms. Suitable for students in Grades 6-8.

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