Question

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

Answer 1

`2(1-d)`

Explanation:

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

`-2(3d-1) = (-2)\cdot 3d + (-2)(-1) = -6d+2`

The expression becomes

`-6d+2+4d`

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

`-6d+2+4d = -6d+4d+2`

`= (-6+4)d+2 = -2d+2`

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

`-2d+2 = 2(-d+1) = 2(1-d)`