Let's start by identifying the different components of the expression \(-2p - 8 + p + 3\).
### Terms
The terms in the expression are:
1. \(-2p\)
2. \(-8\)
3. \(p\)
4. \(3\)
### Like Terms
Like terms share the same variable part. In this case:
- The like terms with the variable \(p\) are \(-2p\) and \(p\).
- The constant terms (which do not have a variable) are \(-8\) and \(3\).
### Coefficients
The coefficients are the numerical parts of the terms that contain variables:
- The coefficient of \(-2p\) is \(-2\).
- The coefficient of \(p\) is \(1\) (since \(p\) can be written as \(1p\)).
### Constant Terms
The constant terms in the expression are:
- \(-8\)
- \(3\)
### Simplifying the Expression
Now, let's simplify the expression by combining like terms:
1. Combine the \(p\) terms:
\[
-2p + p = -2p + 1p = -1p = -p
\]
2. Combine the constant terms:
\[
-8 + 3 = -5
\]
Putting it all together, we have:
\[
-p - 5
\]
### Final Result
The simplified expression is:
\[
-p - 5
\]