Rewrite in simplest terms: 10, left parenthesis, minus, b, plus, 3, b, minus, 5, right parenthesis, minus, 8, b10(−b+3b−5)−8b

1 answer

To simplify the expression \( 10(-b + 3b - 5) - 8b \), we follow these steps:

  1. Combine like terms inside the parentheses: \(-b + 3b - 5 = 2b - 5\)

  2. Distribute the 10: \(10(2b - 5) = 20b - 50\)

  3. Combine with the \(-8b\): \(20b - 50 - 8b = (20b - 8b) - 50 = 12b - 50\)

So the simplified expression is: \[ 12b - 50 \]