# How do you solve 8( b - 7) + 2= - 46?

Mar 6, 2018

$b = 1$.

#### Explanation:

1. Move $2$ to the other side of the equation using subtraction.

$8 \left(b - 7\right) + 2 \textcolor{red}{-} \textcolor{red}{2} = - 46 \textcolor{red}{-} \textcolor{red}{2}$
$8 \left(b - 7\right) = - 48$

1. Divide both sides by $8$ to continue to isolate $b$.

$\left(8 \left(b - 7\right)\right) \frac{\setminus}{8} = - 48 \frac{\setminus}{8}$
$b - 7 = - 6$

1. Move $7$ to the other side of the equation using addition.

$b - 7 \textcolor{red}{+} \textcolor{red}{7} = - 6 \textcolor{red}{+} \textcolor{red}{7}$
$b = - 1$