# How do you solve the equation (b+4)/-2=-17?

May 13, 2017

$b = 30$

#### Explanation:

We can undo the fact that $b + 4$ is divided by $- 2$ by multiplying both sides by $- 2$.

$- 2 \left(\frac{b + 4}{- 2}\right) = \left(- 17\right) \left(- 2\right)$

The fractions in the left-hand side can be manipulated to show that the effect of multiplying both sides by $- 2$ is to have the introduced $- 2$ cancel with the preexisting $- 2$ as $1$:

$\frac{- 2}{- 2} \left(b + 4\right) = \left(- 17\right) \left(- 2\right)$

$b + 4 = \left(- 17\right) \left(- 2\right)$

Note that $17 \times 2 = 34$. Since we have a negative multiplied by a negative, the result will be positive.

$b + 4 = 34$

Subtract $4$ from both sides of the equation:

$b + 4 - 4 = 34 - 4$

$b = 30$