Question

Solve for p.
−160=22+8(3p−4)

Answer 1

Start by distributing the 8:

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

Now we have:

`-160=22+24p-32`

Combine like terms:

`-160=(24p)+(22-32)`

Now we have:

`-160=24p-10`

Add 10 to both sides:

`24p-10+10=-160+10`

Now we have:

`24p=-150`

Divide both sides by 24:

`24p/24=-150/24`

Final answer: p=-25/4

Answer 2

-160=22+8(3p-4)
Use distributive property
-160=22+24p-32
-160=24p-10
Add 10 for both side
-160+10=24p-10+10
-150=24p
Divided 24 for both side
-150/24=24p/24
p=-6.25
Check:
-160=22+8(3p+4)
-160=22+8[3(-6.25)-4]
-160=22+8(-18.75-4)
-160=22+8(-22.75)
-160=22-182
-160=-160. As a result, x=-6.25. Hope it help!