-4(-3x+w)+6(-6w+2x)
-4(-3x+w)+6(-6w+2x)
12x-4w-36w+12x
...
12 x - 4 w -36 w + 12 x
or
24 x - 40 w
To simplify the expression -4(-3x+w)+6(-6w+2x), you need to distribute the factors outside the parentheses to each individual term inside the parentheses and then combine like terms.
Let's break it down step by step:
1. Distribute -4 to each term inside the first set of parentheses:
-4 * (-3x + w) = 12x - 4w
2. Distribute 6 to each term inside the second set of parentheses:
6 * (-6w + 2x) = -36w + 12x
Now we have:
12x - 4w + (-36w + 12x)
3. Group like terms:
Combine the terms that have the same variable.
(12x + 12x) + (-4w - 36w) = 24x - 40w
Finally, the simplified expression is 24x - 40w.