Answered

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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][tex]$p - 7 = 13 - 3p$[/tex][/tex]

B. [tex][tex]$2p - 7 = 13$[/tex][/tex]

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

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

Sagot :

GinnyAnswer
To solve the equation [tex]\(3p - 7 + p = 13\)[/tex], we start by combining like terms on the left-hand side.

1. Identify and combine the terms that include [tex]\(p\)[/tex]:
- We have the terms [tex]\(3p\)[/tex] and [tex]\(p\)[/tex].

2. Adding [tex]\(3p\)[/tex] and [tex]\(p\)[/tex] together:
- [tex]\(3p + p = 4p\)[/tex].

3. Substitute this simplified expression back into the equation:
- The equation becomes [tex]\(4p - 7 = 13\)[/tex].

Therefore, after the first step in solving the equation [tex]\(3p - 7 + p = 13\)[/tex], the resulting equation is [tex]\(\boxed{4p - 7 = 13}\)[/tex].
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