Microwaveexeidn
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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 :

GinnyAnsweridn
To solve the equation [tex]\( 3p - 7 + p = 13 \)[/tex] step-by-step:

1. Combine like terms on the left side of the equation:
- The terms involving [tex]\( p \)[/tex] are [tex]\( 3p \)[/tex] and [tex]\( p \)[/tex].
- Adding these terms together, [tex]\( 3p + p \)[/tex] results in [tex]\( 4p \)[/tex].

2. Rewrite the equation after combining like terms:
- The new equation is [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]\( 4 p - 7 = 13 \)[/tex].
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