Rewrite in simplest terms: 10, left parenthesis, minus, 7, k, minus, 9, m, right parenthesis, plus, 4, m, minus, 5, left parenthesis, 3, m, plus, k, right parenthesis10(−7k−9m)+4m−5(3m+k)

Answer 1

To simplify the expression \( 10(-7k - 9m) + 4m - 5(3m + k) \), we can follow these steps:

1. Distribute \( 10 \) and \( -5 \): \[ 10(-7k) + 10(-9m) + 4m - 5(3m) - 5(k) \]

   This simplifies to: \[ -70k - 90m + 4m - 15m - 5k \]

2. Combine like terms:

   • For \( k \) terms: \( -70k - 5k = -75k \)
   • For \( m \) terms: \( -90m + 4m - 15m = -101m \)

3. Put it all together: \[ -75k - 101m \]

The simplified expression is: \[ -75k - 101m \]