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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
Certainly! Let's solve the equation [tex]\(3p - 7 + p = 13\)[/tex] step by step and identify the resulting equation after the first step.

Step 1: Combine like terms on the left-hand side of the equation.

The original equation is:
[tex]\[ 3p - 7 + p = 13 \][/tex]

Combine the [tex]\(3p\)[/tex] and [tex]\(p\)[/tex] terms:
[tex]\[ (3p + p) - 7 = 13 \][/tex]

Simplify the expression inside the parentheses:
[tex]\[ 4p - 7 = 13 \][/tex]

So, the resulting equation after combining the like terms (the first step) is:
[tex]\[ 4p - 7 = 13 \][/tex]

Therefore, the correct choice is:
[tex]\[ \boxed{4 p - 7=13} \][/tex]
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