Question

Rewrite in simplest terms: minus, 8, left parenthesis, minus, 3, p, minus, 1, right parenthesis, minus, 8, p−8(−3p−1)−8p

Answer 1

To simplify the expression \(-8(-3p - 1) - 8p\), follow these steps:

1. Distribute \(-8\) to both terms inside the parentheses:
\[
-8 \times -3p = 24p
\]
\[
-8 \times -1 = 8
\]

So, \(-8(-3p - 1) = 24p + 8\).

2. Now, substitute this back into the expression:
\[
24p + 8 - 8p
\]

3. Combine like terms (\(24p\) and \(-8p\)):
\[
(24p - 8p) + 8 = 16p + 8
\]

So, the simplified expression is:
\[
16p + 8
\]