# How do you simplify -2(3d - 1) + 4d?

May 25, 2018

$2 \left(1 - d\right)$

#### Explanation:

Multiply each term in the parenthesis by $- 2$:

$- 2 \left(3 d - 1\right) = \left(- 2\right) \setminus \cdot 3 d + \left(- 2\right) \left(- 1\right) = - 6 d + 2$

The expression becomes

$- 6 d + 2 + 4 d$

Now sum similar terms: two terms are said to be similar if their literal part is the same. In our case, $- 6 d$ and $4 d$ have the same literal part $d$, so we can sum them up:

$- 6 d + 2 + 4 d = - 6 d + 4 d + 2$

$= \left(- 6 + 4\right) d + 2 = - 2 d + 2$

Finally, you can observe that you can factor a $2$ from both terms:

$- 2 d + 2 = 2 \left(- d + 1\right) = 2 \left(1 - d\right)$