Answer:
w =6 w=-2
Explanation:
4/3|3w-6|=16
Multiply each side by 3/4 to isolate the absolute value
3/4 *4/3|3w-6|=16*3/4
|3w-6|=12
An absolute value has 2 solutions, one positive and one negative
3w-6 =12 3w-6 = -12
Add 6 to each side
3w-6+6 =12+6 3w-6+6=-12+6
3w = 18 3w = -6
Divide by 3
3w/3 = 18/3 3w/3 = -6/3
w = 6 w = -2