To solve the equation [tex]\(3p - 7 + p = 13\)[/tex], we start by combining like terms on the left-hand side.
1. Identify and combine the terms that include [tex]\(p\)[/tex]:
- We have the terms [tex]\(3p\)[/tex] and [tex]\(p\)[/tex].
2. Adding [tex]\(3p\)[/tex] and [tex]\(p\)[/tex] together:
- [tex]\(3p + p = 4p\)[/tex].
3. Substitute this simplified expression back into the equation:
- The equation becomes [tex]\(4p - 7 = 13\)[/tex].
Therefore, after the first step in solving the equation [tex]\(3p - 7 + p = 13\)[/tex], the resulting equation is [tex]\(\boxed{4p - 7 = 13}\)[/tex].
