# How do you solve 28+ 27p = 7( p - 22) + 34p?

Dec 4, 2017

$p = 13$

#### Explanation:

$\text{distribute the bracket on the right side of the equation}$

$28 + 27 p = 7 p - 154 + 34 p$

$\Rightarrow 28 + 27 p = 41 p - 154$

$\text{subtract 41p from both sides}$

$28 + 27 p - 41 p = \cancel{41 p} \cancel{- 41 p} - 154$

$\Rightarrow 28 - 14 p = - 154$

$\text{subtract 28 from both sides}$

$\cancel{28} \cancel{- 28} - 14 p = - 154 - 28$

$\Rightarrow - 14 p = - 182$

$\text{divide both sides by } - 14$

$\frac{\cancel{- 14} p}{\cancel{- 14}} = \frac{- 182}{- 14}$

$\Rightarrow p = 13$