Question

Rewrite in simplest terms: minus, 9, left parenthesis, minus, 0, point, 7, h, minus, 2, h, plus, 8, right parenthesis, minus, 2, h−9(−0.7h−2h+8)−2h

Answer 1

Let's simplify the expression step by step:

Start with:
\[
-9(-0.7h - 2h + 8) - 2h
\]

First, simplify the expression inside the parentheses:
\[
-0.7h - 2h + 8 = (-0.7 - 2)h + 8 = -2.7h + 8
\]

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

Distribute \(-9\) to both terms inside the parentheses:
\[
= 9(2.7h) - 9(8) - 2h
\]
\[
= 24.3h - 72 - 2h
\]

Now, combine like terms:
\[
= (24.3h - 2h) - 72
\]
\[
= 22.3h - 72
\]

Therefore, the simplified expression is:
\[
\boxed{22.3h - 72}
\]