To solve the given equation [tex]\( 3p - 7 + p = 13 \)[/tex], we need to simplify the left-hand side by combining like terms.
1. On the left-hand side of the equation [tex]\( 3p - 7 + p \)[/tex], we have two terms involving [tex]\( p \)[/tex]: [tex]\( 3p \)[/tex] and [tex]\( p \)[/tex].
2. Combine these terms:
[tex]\[
3p + p = 4p
\][/tex]
The equation now becomes:
[tex]\[
4p - 7 = 13
\][/tex]
So, the resulting equation after combining like terms is [tex]\( 4p - 7 = 13 \)[/tex].
Therefore, the correct option is:
[tex]\[ 4p - 7 = 13 \][/tex]
