Question

9 - 4(2p - 1) = 41 Show work

Answer 1

`p=-(7)/(2)`

Explanation:

`9 - 4(2p - 1) = 41 \\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\9-4\left(2p-1\right)-9=41-9\\\\Simplify\\-4\left(2p-1\right)=32\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\(-4\left(2p-1\right))/(-4)=(32)/(-4)\\\\Simplify\\2p-1=-8\\\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\2p-1+1=-8+1\\\\Simplify\\2p=-7\\\\\mathrm{Divide\:both\:sides\:by\:}2\\(2p)/(2)=(-7)/(2)\\\\Simplify\\p=-(7)/(2)`

Answer 2

`p=-7/2=-3.5`

Explanation:

So we have the equation:

`9-4(2p-1)=41`

First, let's subtract 9 from both sides:

`-4(2p-1)=32`

Divide both sides by -4:

`2p-1=-8`

Add 1 to both sides:

`2p=-7`

Divide both sides by 2:

`p=-7/2=-3.5`

And we're done!