Question

2. Solve the equation below. please show your work!! :))
2(4p +1) = 2(2p-5)

Answer 1

p = -3

Explanation:

2(4p + 1) = 2(2p - 5)

8p + 2 = 4p - 10

Subtract 4p from both sides.

8p - 4p = 4p

4p + 2 = -10

4p + 2 - 2 = 10 - 2

4p = -12

4p ÷ 4 = p

-12 ÷ 4 = -3.

Hence, p = -3.

Hope this helped.

Answer 2

`p=-3`

Explanation:

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`2\left(4p+1\right)=2\left(2p-5\right)`

Expand:-
`2\left(4p+1\right)`

`=8p+2`

Expand:-
`2(2p-5)`

`=4p-10`

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`8p+2=4p-10`

→ Subtract 2 from both sides:

`8p+2-2=4p-10-2`

`8p=4p-12`

→ Subtract 4p from both sides:

`8p-4p=4p-12-4p`

`4p=-12`

→ Divide both sides by 4:

`(4p)/(4)=(-12)/(4)`

`p=-3`

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