2/3 (w+12) = 3w-6Solution, no solution, or infinite solutions

Answer:w = 6Step-by-step explanation:[tex]\dfrac{2}{3}(w+12)=3w-6\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{2}{3\!\!\!\!\diagup}(w+12)=(3)(3w)-(3)(6)\\\\2(w+12)=9w-18\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(w)+(2)(12)=9w-18\\\\2w+24=9w-18\qquad\text{subtract 24 from both sides}\\\\2w+24-24=9w-18-24\\\\2w=9w-42\qquad\text{subtract}\ 9w\ \text{from both sides}\\\\2w-9w=9w-9w-42\\\\-7w=-42\qquad\text{divide both sides by (-7)}\\\\\dfrac{-7w}{-7}=\dfrac{-42}{-7}\\\\w=6[/tex]