1. **State the problem:** Solve the equation $$-3w = \frac{9}{5}$$ for the variable $$w$$. 2. **Isolate $$w$$:** To solve for $$w$$, divide both sides of the equation by $$-3$$: $$w = \frac{\frac{9}{5}}{-3}$$ 3. **Simplify the right side:** Dividing by $$-3$$ is the same as multiplying by $$-\frac{1}{3}$$: $$w = \frac{9}{5} \times -\frac{1}{3}$$ 4. **Multiply the fractions:** $$w = -\frac{9 \times 1}{5 \times 3} = -\frac{9}{15}$$ 5. **Simplify the fraction:** Both numerator and denominator are divisible by 3: $$w = -\frac{3}{5}$$ **Final answer:** $$w = -\frac{3}{5}$$