# How do you solve 30=-5(6n+6)?

Jul 31, 2016

Use the distributive property and solve for n.

#### Explanation:

The distributive property states that $a \left(b \cdot c\right) = a \cdot b + a \cdot c$.. Let's use that on the parenthesis above:

$- 5 \left(6 n + 6\right) = - 5 \cdot 6 n + \left(- 5\right) \cdot 6 = - 30 n - 30$

We now have $30 = - 30 n - 30$. Next, we'll add 30 to each side to isolate $n$ on one side of the equation:

$60 = - 30 n$

From here, just divide each side by -30 to get our answer:

$- 2 = n$