-3|2w|=-12
|2w| = 4
2w = 4 or -2w = 4
w = 2 or w = -2
COOOOOOL...THX BROSKI
To solve the equation -3|2w| = -12, we need to isolate the variable w.
The first step is to remove the absolute value by considering two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: When 2w is positive:
In this case, we have -3(2w) = -12.
Simplifying, we get -6w = -12.
Dividing both sides by -6, we have w = 2.
Case 2: When 2w is negative:
In this case, we have -3(-2w) = -12.
Simplifying, we get 6w = -12.
Dividing both sides by 6, we have w = -2.
So the solutions to the equation -3|2w| = -12 are w = 2 and w = -2.