Question

Rewrite in simplest terms: minus, 0, point, 9, left parenthesis, 5, r, plus, 2, right parenthesis, minus, 0, point, 7, left parenthesis, minus, 9, r, minus, 7, right parenthesis−0.9(5r+2)−0.7(−9r−7)

Answer 1

To simplify the expression \(-0.9(5r + 2) - 0.7(-9r - 7)\), we can first distribute the constants to each term inside the parentheses:

1. Distribute \(-0.9\) to \((5r + 2)\):
\[
-0.9 \times 5r - 0.9 \times 2 = -4.5r - 1.8
\]

2. Distribute \(-0.7\) to \((-9r - 7)\):
\[
-0.7 \times -9r - 0.7 \times -7 = 6.3r + 4.9
\]

Now combine these two results:
\[
-4.5r - 1.8 + 6.3r + 4.9
\]

Now, combine like terms:
- Combine \(r\) terms: \(-4.5r + 6.3r = 1.8r\)
- Combine constant terms: \(-1.8 + 4.9 = 3.1\)

So, the simplified expression is:
\[
1.8r + 3.1
\]