# How do you solve -3j - (-4)/-6 = 12?

Jul 7, 2015

I found: $j = - \frac{38}{9}$

#### Explanation:

Remember that $\frac{- 4}{-} 6 = \frac{4}{6} =$ (dividing top and bottom by $2$) $= \frac{2}{3}$. So you get:
$- 3 j - \frac{2}{3} = 12$ let us use $3$ as common denominator:
$\frac{- 9 j - 2}{3} = \frac{36}{3}$ where I had to change the numerators that didn't have the $3$;
cancel the denominators:
$\frac{- 9 j - 2}{\cancel{3}} = \frac{36}{\cancel{3}}$
$- 9 j - 2 = 36$ take the $2$ to the right:
$- 9 j = 36 + 2$
$- 9 j = 38$ divide by $- 9$ both sides:
$j = - \frac{38}{9}$