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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
To solve the equation [tex]\(3p - 7 + p = 13\)[/tex], the first step is to combine like terms on the left side of the equation. Here are the detailed steps:

1. Look at the left-hand side of the equation: [tex]\(3p - 7 + p\)[/tex].
2. Combine the terms that contain the variable [tex]\(p\)[/tex].

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

3. Add the coefficients of [tex]\(p\)[/tex]:

[tex]\[3p + p = 4p\][/tex]

4. Substitute back the combined terms into the equation:

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

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

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

So, the correct choice is:

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