Let's break down the given equation step-by-step:
Given equation:
[tex]\[3p - 7 + p = 13\][/tex]
First, we combine like terms on the left-hand side. The terms [tex]\(3p\)[/tex] and [tex]\(p\)[/tex] are like terms:
[tex]\[3p + p - 7 = 13\][/tex]
Combining the like terms [tex]\(3p\)[/tex] and [tex]\(p\)[/tex]:
[tex]\[4p - 7 = 13\][/tex]
Thus, the resulting equation after the first step is:
[tex]\[4p - 7 = 13\][/tex]
So, the correct answer is:
[tex]\[4p - 7 = 13\][/tex]