-5(4w + 12 ) = 15

use distributive property to solve

-20w-60=15
-20w=-45
-20w/-20w=-45/-20
w=2.25 or 9/4

thanxz

To solve the equation -5(4w + 12) = 15 using the distributive property, you need to distribute the -5 to both terms inside the parenthesis.

First, multiply -5 with 4w: -5 * 4w = -20w.

Then, multiply -5 with 12: -5 * 12 = -60.

Now, substitute these values back into the equation: -20w - 60 = 15.

To isolate w, you need to get rid of the -60 on the left side.

Add 60 to both sides of the equation: -20w - 60 + 60 = 15 + 60.

Simplifying the equation: -20w = 75.

Finally, divide both sides of the equation by -20 to solve for w: (-20w)/(-20) = 75/(-20).

Simplifying further, -20w/-20 = 75/-20.

The equation simplifies to: w = 2.25 or w = 9/4.

Therefore, the solutions to the equation -5(4w + 12) = 15 are w = 2.25 or w = 9/4.