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