1. **State the problem:** Solve the equation $$\frac{18}{t} = 3 + 6$$ for the variable $t$. 2. **Simplify the right side:** $$3 + 6 = 9$$ So the equation becomes: $$\frac{18}{t} = 9$$ 3. **Isolate $t$:** Multiply both sides by $t$ to get rid of the denominator: $$\cancel{t} \times \frac{18}{\cancel{t}} = 9t$$ which simplifies to: $$18 = 9t$$ 4. **Solve for $t$:** Divide both sides by 9: $$\frac{18}{\cancel{9}} = \frac{9t}{\cancel{9}}$$ which simplifies to: $$2 = t$$ 5. **Final answer:** $$t = 2$$