Question

Rewrite in simplest terms: 8, left parenthesis, 5, k, plus, 7, right parenthesis, minus, 10, left parenthesis, 6, k, minus, 7, right parenthesis8(5k+7)−10(6k−7)

Answer 1

To simplify the expression \( 8(5k + 7) - 10(6k - 7) \), follow these steps:

1. Distribute \( 8 \) in the first term:
\[
8 \cdot 5k + 8 \cdot 7 = 40k + 56
\]

2. Distribute \( -10 \) in the second term:
\[
-10 \cdot 6k + (-10) \cdot (-7) = -60k + 70
\]

3. Combine the results:
\[
40k + 56 - 60k + 70
\]

4. Combine like terms:
- Combine the \( k \) terms: \( 40k - 60k = -20k \)
- Combine the constant terms: \( 56 + 70 = 126 \)

So the simplified expression is:
\[
-20k + 126
\]