To simplify the expression \( -(8.9d + 10f) + 6.4 \), we can follow these steps:

### Step 1: Distribute the negative sign
\[
-(8.9d + 10f) = -8.9d - 10f
\]

### Step 2: Add the constant
Now add \( 6.4 \) to the expression:
\[
-8.9d - 10f + 6.4
\]

### Final Simplified Expression:
\[
-8.9d - 10f + 6.4
\]

This is the simplified form of the given expression.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How would you simplify \( -(3x + 7y) + 2.5 \)?
2. What happens if you substitute specific values for \( d \) and \( f \) in the expression \( -8.9d - 10f + 6.4 \)?
3. How does the distributive property apply when expanding expressions like \( -(a + b) \)?
4. Can you identify the coefficients and constants in the expression \( -8.9d - 10f + 6.4 \)?
5. How would the expression change if there was an additional variable, say \( +5g \)?

**Tip:** When simplifying expressions, always distribute negative signs carefully to avoid mistakes.

Learn how to simplify the algebraic expression −(8.9d + 10f) + 6.4 step-by-step. This tutorial explains the distributive property and how to carefully handle negative signs in algebra. Suitable for students in Grades 7-9.

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