Simplify 4/3|3w-6|=16

w = 6 w=-2

Step-by-step 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