# How do you solve 7p - ( 3 p + 4 ) = - 2 ( 2 p - 1 ) + 1 0?

Oct 18, 2016

$\textcolor{g r e e n}{p = 2}$

#### Explanation:

$7 p - \left(3 p + 4\right)$
$\textcolor{w h i t e}{\text{XXX}} = 7 p - 3 p - 4$
$\textcolor{w h i t e}{\text{XXX}} = 4 p - 4$

$- 2 \left(2 p - 1\right) + 10$
$\textcolor{w h i t e}{\text{XXX}} = - 4 p + 2 + 10$
$\textcolor{w h i t e}{\text{XXX}} = - 4 p + 12$

$\therefore 7 p - \left(3 p + 4\right) = - 2 \left(2 p - 1\right) + 10$
$\rightarrow 4 p - 4 = - 4 p + 12$

$\rightarrow 8 p = 16$

$\rightarrow p = 2$