Question

What is the value of p in the equation 4p 3(p 4) = 12p 12? 12 1 0 −1

Answer 1

Option (3) is correct.

p = 0

Explanation:

Given : equation
`4p\:+3\left(p+\:4\right)\:=\:12p+\:12`

We have to simplify for p and choose the correct option from the given options.

Consider the given equation
`4p\:+3\left(p+\:4\right)\:=\:12p+\:12`

Expand brackets by multiplying 3 with each term of bracket, we have,

`3(p+4)=3p+12`

Thus, given equation becomes,

`4p+3p+12=12p+12`

Add similar terms, 4p and 3p, we have,

`7p+12=12p+12`

Subtract 12 from both sides, we have,

`7p+12-12=12p+12-12`

Simplify, we have,

`7p=12p`

Subtract 12p both sides, we have,

`7p-12p=12p-12p`

Simplify,

-5p = 0

This implies p = 0

Thus, option (3) is correct.

Answer 2

4p + 3(p + 4) = 12p + 12
4p + 3p + 12 = 12p + 12
7p + 12 = 12p + 12
5p = 0
p = 0