Let's solve the inequality step by step. The original inequality is:
\[ -7p - 3 + 8p \leq 8 \]
First, let's combine like terms on the left side:
\[ (-7p + 8p) - 3 \leq 8 \]
This simplifies to:
\[ p - 3 \leq 8 \]
Next, we can isolate \(p\) by adding 3 to both sides:
\[ p \leq 8 + 3 \]
Which simplifies to:
\[ p \leq 11 \]
Now, writing this in the format requested:
The solution is \(p\) less than or equals \(11\).
So the final answer can be expressed as:
\[ p \leq 11 \]