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

Answer:

$p=-6.25$ or $p=\displaystyle-\frac{25}{4}$

Step-by-step 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:

$p=\displaystyle-\frac{25}{4}$

I hope this helps!