Question

Rewrite in simplest terms: 7, left parenthesis, minus, 8, f, minus, 2, right parenthesis, plus, 10, left parenthesis, minus, 5, f, plus, 7, right parenthesis7(−8f−2)+10(−5f+7)

Answer 1

To simplify the expression \( 7(-8f - 2) + 10(-5f + 7) \), we can follow these steps:

1. Distribute \( 7 \) in the first part:
\[
7 \times -8f = -56f
\]
\[
7 \times -2 = -14
\]
So, \( 7(-8f - 2) = -56f - 14 \).

2. Distribute \( 10 \) in the second part:
\[
10 \times -5f = -50f
\]
\[
10 \times 7 = 70
\]
So, \( 10(-5f + 7) = -50f + 70 \).

3. Now combine both results:
\[
-56f - 14 - 50f + 70
\]

4. Combine the \( f \) terms:
\[
-56f - 50f = -106f
\]

5. Combine the constant terms:
\[
-14 + 70 = 56
\]

So, putting it all together, we get:
\[
-106f + 56
\]

Thus, the expression simplified is:
\[
\boxed{-106f + 56}
\]