Question

Rewrite in simplest terms: minus, 0, point, 9, left parenthesis, 7, v, plus, 7, right parenthesis, plus, 0, point, 3, left parenthesis, v, plus, 10, right parenthesis−0.9(7v+7)+0.3(v+10)

Answer 1

To simplify the expression \(-0.9(7v + 7) + 0.3(v + 10)\), follow these steps:

1. Distribute \(-0.9\) and \(0.3\):
\[
-0.9 \cdot 7v - 0.9 \cdot 7 + 0.3 \cdot v + 0.3 \cdot 10
\]
This simplifies to:
\[
-6.3v - 6.3 + 0.3v + 3
\]

2. Combine like terms:
For the \(v\) terms:
\[
-6.3v + 0.3v = -6.0v
\]

For the constant terms:
\[
-6.3 + 3 = -3.3
\]

Putting this all together, we get:
\[
-6.0v - 3.3
\]

So, the simplified expression is:
\[
-6v - 3.3
\]