Question

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

Answer 1

Answer:

$p=-7/2=-3.5$

Step-by-step 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!

Answer 2

Answer:

$p=-\frac{7}{2}$

Step-by-step explanation:

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