To combine the like terms in the given expression [tex]\(-4p + (-2) + 2p + 3\)[/tex], follow these steps:
1. Identify the like terms:
- Like terms for [tex]\(p\)[/tex]: [tex]\(-4p\)[/tex] and [tex]\(2p\)[/tex].
- Constant terms: [tex]\(-2\)[/tex] and [tex]\(3\)[/tex].
2. Combine the like terms for [tex]\(p\)[/tex]:
- Add [tex]\(-4p\)[/tex] and [tex]\(2p\)[/tex]:
[tex]\[
-4p + 2p = -2p
\][/tex]
3. Combine the constant terms:
- Add [tex]\(-2\)[/tex] and [tex]\(3\)[/tex]:
[tex]\[
-2 + 3 = 1
\][/tex]
4. Combine the results of both terms:
- The equivalent expression is:
[tex]\[
-2p + 1
\][/tex]
Therefore, the given expression [tex]\(-4p + (-2) + 2p + 3\)[/tex] simplifies to:
[tex]\[
-2p + 1
\][/tex]
