Answered

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

A. [tex]p - 7 = 13 - 3p[/tex]
B. [tex]2p - 7 = 13[/tex]
C. [tex]3p - 7 = 13 - p[/tex]
D. [tex]4p - 7 = 13[/tex]

Sagot :

GinnyAnswer
Let's break down the given equation step-by-step:

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

First, we combine like terms on the left-hand side. The terms [tex]\(3p\)[/tex] and [tex]\(p\)[/tex] are like terms:

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

Combining the like terms [tex]\(3p\)[/tex] and [tex]\(p\)[/tex]:

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