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anygoal [31]
3 years ago
10

Solve for p. −160=22+8(3p−4)

Mathematics
2 answers:
aivan3 [116]3 years ago
4 0
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

Aneli [31]3 years ago
3 0
-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!
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