# How do you solve 4( - 12d - 12) = 6( 8- 6d )?

Jun 22, 2018

Use the distributive property, combine like terms, and divide.

#### Explanation:

The distributive property states that $a \left(b + c\right) = a \cdot b + a \cdot c$. Let's use this to simplify both sides:

$4 \left(- 12 d - 12\right) = 4 \cdot - 12 d + 4 \cdot - 12 = - 48 d - 48$
$6 \left(8 - 6 d\right) = 6 \cdot 8 + 6 \cdot - 6 d = 48 - 36 d$

We now have $- 48 d - 48 = 48 - 36 d$. Next, let's combine like terms to isolate $d$ on one side:

$- 48 d - 48 + 48 = 48 - 36 d + 48$

$- 48 d = - 36 d + 96$

$- 48 d + 36 d = - 36 d + 96 + 36 d$

$- 12 d = 96$

Finally, let's divide each side by -12:

$\frac{- 12 d}{-} 12 = \frac{96}{-} 12$
$d = - 8$

Hope this helps!