Question

Rewrite in simplest terms: minus, 5, left parenthesis, minus, 3, k, minus, 2, m, right parenthesis, plus, 8, m, minus, 3, left parenthesis, 2, m, plus, 3, k, right parenthesis−5(−3k−2m)+8m−3(2m+3k)

Answer 1

Let's simplify the expression step by step:

1. Start with the expression:
\(-5(-3k - 2m) + 8m - 3(2m + 3k)\)

2. Distribute \(-5\) in the first term:
\(-5(-3k) + (-5)(-2m) = 15k + 10m\)

3. Distribute \(-3\) in the second term:
\(-3(2m) - 3(3k) = -6m - 9k\)

4. Now substitute back into the expression:
\(15k + 10m + 8m - 6m - 9k\)

5. Combine like terms:
- For \(k\) terms: \(15k - 9k = 6k\)
- For \(m\) terms: \(10m + 8m - 6m = 12m\)

6. The final simplified expression is:
\(6k + 12m\)

So, the simplest form is:
**\(6k + 12m\)**