# How do you solve 7( 8- 8b ) = - 112?

Jun 13, 2018

$b = 3$

#### Explanation:

$7 \left(8 - 8 b\right) = - 112$

First, use the distributive property (shown below) to simplify $7 \left(8 - 8 b\right)$:

Following this image, we know that:
$\textcolor{b l u e}{7 \left(8 - 8 b\right) = \left(7 \cdot 8\right) + \left(7 \cdot - 8 b\right) = 56 - 56 b}$

Put that back into the equation:
$56 - 56 b = - 112$

Now subtract $\textcolor{b l u e}{56}$ from both sides of the equation:
$56 - 56 b \quad \textcolor{b l u e}{- \quad 56} = - 112 \quad \textcolor{b l u e}{- \quad 56}$

$- 56 b = - 168$

Divide both sides by $\textcolor{b l u e}{- 56}$:
$\frac{- 56 b}{\textcolor{b l u e}{- 56}} = \frac{- 168}{\textcolor{b l u e}{- 56}}$

Therefore,
$b = 3$

Hope this helps!