To solve the equation [tex]\(3p - 7 + p = 13\)[/tex], we need to simplify and combine like terms. Let's go through the steps:
1. Start with the original equation:
[tex]\[3p - 7 + p = 13\][/tex]
2. Combine the like terms (terms involving [tex]\(p\)[/tex]) on the left side:
- We have [tex]\(3p\)[/tex] and [tex]\(p\)[/tex].
- [tex]\(3p + p\)[/tex] simplifies to [tex]\(4p\)[/tex].
3. Write the simplified equation:
[tex]\[4p - 7 = 13\][/tex]
So, the resulting equation after simplifying and combining the like terms is:
[tex]\[4p - 7 = 13\][/tex]
The correct answer is:
[tex]\[\boxed{4p - 7 = 13}\][/tex]
