Question

What is the answer for 4(2p-8)-6p=20+4(p+6)

Answer 1

Answer p = -4

6p + 2(4 + -2p) = 3(p + 4)

6p + (4 * 2 + -2p * 2) = 3(p + 4)

6p + (8 + -4p) = 3(p + 4)

8 + 6p + -4p = 3(p + 4)

8 + 2p = 3(p + 4)

8 + 2p = 3(4 + p)

8 + 2p = (4 * 3 + p * 3)

8 + 2p = (12 + 3p)

8 + 2p = 12 + 3p

 

8 + 2p + -3p = 12 + 3p + -3p

 

8 + -1p = 12 + 3p + -3p

8 + -1p = 12 + 0

8 + -1p = 12

 

8 + -8 + -1p = 12  

0 + -1p = 12 + -8

-1p = 12 + -8

 

-1p = 4

p = -4

Answer 2

Hello! :)

$\large\boxed{p = -38}$

4(2p - 8) - 6p = 20 + 4(p + 6)

Distribute the coefficients outside of the parenthesis:

4(2p) + 4(-8) - 6p = 20 + 4(p) + 4(6)

8p - 32 - 6p = 20 + 4p + 24

Combine like terms:

2p - 32 = 44 + 4p

Subtract 2p from both sides:

-32 = 44 + 2p

Subtract 44 from both sides:

-76 = 2p

Divide both sides by 2:

p = -38.