Consider the equation [tex][tex]$3p - 7 + p = 13$[/tex][/tex]. What is the resulting equation after the first step in the solution?

A. [tex]p - 7 = 13 - 3p[/tex]

B. [tex]20 - 7 = 13[/tex]

C. [tex]3p - 7 = 13 - p[/tex]

D. [tex]4p - 7 = 13[/tex]



Answer :

Let's solve the given equation step-by-step.

We start with the equation:

[tex]\[ 3p - 7 + p = 13 \][/tex]

Step 1: Combine the like terms on the left side of the equation. The like terms here are [tex]\(3p\)[/tex] and [tex]\(p\)[/tex].

[tex]\[ 3p + p - 7 = 13 \][/tex]
[tex]\[ 4p - 7 = 13 \][/tex]

So, the resulting equation after the first step in the solution is:

[tex]\[ 4p - 7 = 13 \][/tex]

Thus, the correct answer is:

[tex]\[ 4p - 7 = 13 \][/tex]