# How do you solve 8p+7(1+2p)=-147?

Dec 20, 2016

$p = - 7$

#### Explanation:

The first step is to expand the term in parenthesis:

$8 p + \left(7 \times 1\right) + \left(7 \times 2 p\right) = - 147$

$8 p + 7 + 14 p = - 147$

Next, group the $p$ terms:

$8 p + 14 p + 7 = - 147$

$\left(8 + 14\right) p + 7 = - 147$

$22 p + 7 = - 147$

Now, isolate the $p$ term while keeping the equation balanced:

$22 p + 7 - \textcolor{red}{7} = - 147 - \textcolor{red}{7}$

$22 p + 0 = - 154$

$22 p = - 154$

Now we can solve for $p$:

$\frac{22 p}{22} = \frac{- 154}{22}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{22}}} p}{\textcolor{red}{\cancel{\textcolor{b l a c k}{22}}}} = - 7$

$p = - 7$