Simplify.

-4(w+3)+2(4w+5)

To simplify the expression, we must distribute the constants outside the parentheses to each of the terms inside the parentheses and then combine like terms.

We have the expression:

-4(w + 3) + 2(4w + 5)

First, distribute the -4 to both terms inside the first set of parentheses:

-4 * w = -4w
-4 * 3 = -12

This gives us:

-4w - 12

Next, distribute the 2 to both terms inside the second set of parentheses:

2 * 4w = 8w
2 * 5 = 10

This gives us:

8w + 10

Now combine both parts:

-4w - 12 + 8w + 10

Combine like terms (-4w with 8w, and -12 with +10):

(-4w + 8w) + (-12 + 10)
4w - 2

Therefore, the simplified form of the expression is:

4w - 2