1. **State the problem:** Solve for $h$ in the equation $$\frac{h}{3} - 1 = 1.$$\n\n2. **Add 1 to both sides:** To isolate the term with $h$, add 1 to both sides of the equation:\n$$\frac{h}{3} - 1 + 1 = 1 + 1$$\nwhich simplifies to\n$$\frac{h}{3} = 2.$$\n\n3. **Multiply both sides by 3:** To solve for $h$, multiply both sides by 3 to cancel the denominator:\n$$3 \times \frac{h}{3} = 3 \times 2$$\nUsing the cancellation rule, we write:\n$$\cancel{3} \times \frac{h}{\cancel{3}} = 6$$\nwhich simplifies to\n$$h = 6.$$\n\n4. **Final answer:** The solution is $$h = 6.$$