To use the distributive property on the expression \( 9(4f - 4g + 6) \), you need to multiply each term inside the parentheses by \( 9 \).
Here's how to do it:
1. Multiply \( 9 \) by \( 4f \):
\[
9 \times 4f = 36f
\]
2. Multiply \( 9 \) by \( -4g \):
\[
9 \times -4g = -36g
\]
3. Multiply \( 9 \) by \( 6 \):
\[
9 \times 6 = 54
\]
Now, combine all these results:
\[
9(4f - 4g + 6) = 36f - 36g + 54
\]
So the equivalent expression is:
\[
36f - 36g + 54
\]