# How do you solve 10=-3z-8?

Jun 5, 2018

$z = - 6$

#### Explanation:

You want to move all of the numbers to one side and keep the variable on the other side.

In this case, you move the $- 8$ to the left by adding $8$ to each side, leaving you with

$18 = - 3 z$

Now that you have a number and a sole variable, you have to divide the variable so that the variable is alone. Therefore, you have to divide both sides by $- 3$, leaving you with

$- 6 = z$

Jun 5, 2018

$z = - 6$

#### Explanation:

$10 = - 3 z - 8$

$10 + 8 = - 3 z - 8 + 8$

$18 = - 3 z$

divide both sides by -3:

$\frac{18}{- 3} = \frac{- 3 z}{- 3}$

$- 6 = z$

flip equation:

$z = - 6$