Question

9, left parenthesis, 7, h, minus, 4, k, right parenthesis, plus, 10, k, minus, 5, left parenthesis, 6, k, minus, 7, h, right parenthesis9(7h−4k)+10k−5(6k−7h)

Answer 1

To simplify the expression \( 9(7h - 4k) + 10k - 5(6k - 7h) \), we will distribute and combine like terms step by step.

1. Distribute \( 9 \) and \( -5 \):

\[
9(7h) - 9(4k) + 10k - 5(6k) + 5(7h)
\]
This gives:
\[
63h - 36k + 10k - 30k + 35h
\]

2. Combine the \( h \) terms and the \( k \) terms:

Let's combine the \( h \) terms:
\[
63h + 35h = 98h
\]

Now, combine the \( k \) terms:
\[
-36k + 10k - 30k = -56k
\]

3. Putting it all together, we get:
\[
98h - 56k
\]

So, the simplified expression is:
\[
\boxed{98h - 56k}
\]