Answer:
Option (3) is correct.
p = 0
Step-by-step explanation:
Given : equation [tex]4p\:+3\left(p+\:4\right)\:=\:12p+\:12[/tex]
We have to simplify for p and choose the correct option from the given options.
Consider the given equation [tex]4p\:+3\left(p+\:4\right)\:=\:12p+\:12[/tex]
Expand brackets by multiplying 3 with each term of bracket, we have,
[tex]3(p+4)=3p+12[/tex]
Thus, given equation becomes,
[tex]4p+3p+12=12p+12[/tex]
Add similar terms, 4p and 3p, we have,
[tex]7p+12=12p+12[/tex]
Subtract 12 from both sides, we have,
[tex]7p+12-12=12p+12-12[/tex]
Simplify, we have,
[tex]7p=12p[/tex]
Subtract 12p both sides, we have,
[tex]7p-12p=12p-12p[/tex]
Simplify,
-5p = 0
This implies p = 0
Thus, option (3) is correct.
