# How do you simplify 8p - 4= 10( 3p + 4) + ( 7- 5p )?

Mar 2, 2018

$p = - 3$

#### Explanation:

Distribute. First distribute $10$ times $3 p$ and $10$ times $4$ to get

$8 p - 4 = 30 p + 40 + 7 - 5 p$

Then you combine like terms. You will get

$8 p - 4 = 25 p + 47$

Subtract $8 p$ from both sides and get

$- 4 = 17 p + 47$

Then you subtract $47$ from both sides, leaving you with

-51=17p#

Lastly, you divide both sides by $17$ to get

$- 3 = p$