13. $\frac{4}{3}|3w - 6| = 16$

Explanation:

Step1: Isolate the absolute - value expression

Multiply both sides of the equation $\frac{4}{3}|3w - 6|=16$ by $\frac{3}{4}$. $\frac{3}{4}\times\frac{4}{3}|3w - 6|=\frac{3}{4}\times16$ $|3w - 6| = 12$

Step2: Consider two cases

Case 1: $3w-6 = 12$ Add 6 to both sides: $3w-6 + 6=12 + 6$ $3w=18$ Divide both sides by 3: $\frac{3w}{3}=\frac{18}{3}$ $w = 6$ Case 2: $3w-6=-12$ Add 6 to both sides: $3w-6 + 6=-12 + 6$ $3w=-6$ Divide both sides by 3: $\frac{3w}{3}=\frac{-6}{3}$ $w=-2$

Answer:

$w = 6$ or $w=-2$