Question

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

Answer 1

Answer:

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