# How do you solve 4(8-p)-(7-p)=22 ?

Mar 20, 2018

$p = 1$

#### Explanation:

$\text{distribute the brackets on the left side of the equation}$

$32 - 4 p - 7 + p = 22$

$\Rightarrow - 3 p + 25 = 22$

$\text{subtract 25 from both sides}$

$- 3 p \cancel{+ 25} \cancel{- 25} = 22 - 25$

$\Rightarrow - 3 p = - 3$

$\text{divide both sides by } - 3$

$\frac{\cancel{- 3} p}{\cancel{- 3}} = \frac{- 3}{- 3}$

$\Rightarrow p = 1$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

$4 \left(7\right) - \left(6\right) = 28 - 6 = 22 = \text{ right side}$

$\Rightarrow p = 1 \text{ is the solution}$