To solve the equation [tex]\(3p - 7 + p = 13\)[/tex], the first step is to combine like terms on the left side of the equation. Here are the detailed steps:
1. Look at the left-hand side of the equation: [tex]\(3p - 7 + p\)[/tex].
2. Combine the terms that contain the variable [tex]\(p\)[/tex].
[tex]\[3p + p - 7\][/tex]
3. Add the coefficients of [tex]\(p\)[/tex]:
[tex]\[3p + p = 4p\][/tex]
4. Substitute back the combined terms into the equation:
[tex]\[4p - 7 = 13\][/tex]
Thus, the resulting equation after the first step in the solution is:
[tex]\[4p - 7 = 13\][/tex]
So, the correct choice is:
[tex]\[4p - 7 = 13\][/tex]
