Rewrite in simplest terms: minus, 8, left parenthesis, 10, r, plus, 10, r, minus, 6, right parenthesis, minus, 3, r−8(10r+10r−6)−3r

1 answer

To simplify the expression \(-8(10r + 10r - 6) - 3r\), follow these steps:

  1. Combine like terms inside the parentheses:

    • \(10r + 10r = 20r\)
    • So, \(10r + 10r - 6 = 20r - 6\).
  2. Substitute back into the expression:

    • Now the expression is \(-8(20r - 6) - 3r\).
  3. Distribute \(-8\):

    • \(-8 \times 20r = -160r\)
    • \(-8 \times -6 = 48\).
  4. So, it becomes \(-160r + 48 - 3r\).

  5. Combine like terms:

    • \(-160r - 3r = -163r\).

Thus, the simplified expression is:

\(-163r + 48\).