1. **State the problem:** Solve the two-step equation $$51 = 45 + \frac{z}{11}$$ for $z$. 2. **Isolate the variable term:** Subtract 45 from both sides to get the term with $z$ alone. $$51 - 45 = 45 + \frac{z}{11} - 45$$ $$6 = \frac{z}{11}$$ 3. **Eliminate the denominator:** Multiply both sides by 11 to solve for $z$. $$6 \times 11 = \frac{z}{\cancel{11}} \times \cancel{11}$$ $$66 = z$$ 4. **Final answer:** $$z = 66$$ This means the value of $z$ that satisfies the equation is 66.