Transcript text: Provide your answer below:
\[
-15\left(6 h-\frac{2}{5}\right)=\square,-15 \cdot 6 h+15 \cdot \frac{2}{5}=
\]
Solution
Solution Steps
To solve the given expression, we need to distribute the -15 across the terms inside the parentheses. This involves multiplying -15 by each term inside the parentheses separately.
Solution Approach
Distribute -15 to \(6h\).
Distribute -15 to \(\frac{2}{5}\).
Combine the results to get the final expression.
Step 1: Distributing the Terms
We start with the expression:
\[
-15\left(6h - \frac{2}{5}\right)
\]
Distributing \(-15\) to each term inside the parentheses gives us:
\[
-15 \cdot 6h + -15 \cdot \frac{2}{5}
\]
Step 2: Calculating Each Term
Calculating the first term:
\[
-15 \cdot 6h = -90h
\]
Calculating the second term:
\[
-15 \cdot \frac{2}{5} = -6.0
\]
Step 3: Combining the Results
Combining both results, we have:
\[
-90h - 6.0
\]
Final Answer
Thus, the final expression is:
\[
\boxed{-90h - 6.0}
\]