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

1 answer

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: \[ \boxed{22.3h - 72} \]