# How do you solve (-4) + 4/(-5z) = -5?

Apr 9, 2017

$z = \frac{4}{5}$

#### Explanation:

Given: $\left(- 4\right) + \frac{4}{- 5 z} = - 5$

We can multiply both sides by $- 5 z$ to remove the fraction:

Then: $\left(- 4\right) + \frac{4}{- 5 z} = - 5$

Becomes: $\left(- 4\right) \left(- 5 z\right) + 4 = - 5 \left(- 5 z\right)$

$20 z + 4 = 25 z$

Subtract $20 z$ from both sides:

$4 = 5 z$

$z = \frac{4}{5}$

To check, put $z = \frac{4}{5}$ into the $g i v e n$ equation:

$\left(- 4\right) + \frac{4}{- 5 z} = - 5$

$\left(- 4\right) + \frac{4}{- 5 \left(\frac{4}{5}\right)} = - 5$

$\left(- 4\right) + \frac{4}{- 4} = - 5$

$\left(- 4\right) - 1 = - 5$