Verified Answer :

\(- \frac{2}{3} w + 5 = 4\)

Refine:

\(5 - \frac{2w}{3} = 4\)

Multiply both sides by 3 :

\(3 * 5 -3* \frac{2w}{3} = 3*4\)

Refine:

\(15 - 2 w = 12\)

Subtract  15 from both sides:

\(15 - 2w - 15 = 12 - 15\)

\(- 2w = -3\)

Divide both side by -2 :

\(\frac{-2w}{-2} = \frac{-3}{-2}\)

\(w = \frac{3}{2}\)

hope this helps!.