Question

Solve for p.

−160=22+8(3p−4)

Answer 1

The answer to this is p=-25/4 and in other ways it’s either p=-6.25, p=-6 1/4 or p=-5/2^2

Answer 2

`p=-6.25` or
`p=\displaystyle-(25)/(4)`

Explanation:

`-160=22+8(3p-4)`

Our goal here is to isolate p on one side of the equation. We will do this by performing inverse operations on both sides.

Subtract 22 from both sides:

`-160-22=22+8(3p-4)-22\\-182=8(3p-4)`

Divide both sides by 8:

`-22.75=3p-4`

Add 4 to both sides:

`-22.75+4=3p-4+4\\-18.75=3p`

Divide both sides by 3:

`-6.25=p`

You can also convert this into a fraction:

`p=\displaystyle-(25)/(4)`

I hope this helps!