To solve the equation [tex]\( 3p - 7 + p = 13 \)[/tex] step-by-step:
1. Combine like terms on the left side of the equation:
- The terms involving [tex]\( p \)[/tex] are [tex]\( 3p \)[/tex] and [tex]\( p \)[/tex].
- Adding these terms together, [tex]\( 3p + p \)[/tex] results in [tex]\( 4p \)[/tex].
2. Rewrite the equation after combining like terms:
- The new equation is [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]\( 4 p - 7 = 13 \)[/tex].