Question

Rewrite in simplest terms: −9(−0.7h−2h+8)−2h

Answer 1

To simplify the expression \(-9(-0.7h - 2h + 8) - 2h\), follow these steps:

1. Combine the terms inside the parentheses:
\[
-0.7h - 2h + 8 = (-0.7 - 2)h + 8 = -2.7h + 8
\]

2. Now, substitute this back into the expression:
\[
-9(-2.7h + 8) - 2h
\]

3. Distribute the \(-9\) across the terms inside the parentheses:
\[
-9 \cdot -2.7h + -9 \cdot 8 = 24.3h - 72
\]

4. Finally, combine this result with \(-2h\):
\[
24.3h - 72 - 2h = (24.3 - 2)h - 72 = 22.3h - 72
\]

So, the simplified expression is:
\[
22.3h - 72
\]