1. **State the problem:** Zorna weighs 92 pounds, which is 6 pounds more than half of her father's weight. We want to find her father's weight. 2. **Set up the equation:** Let $x$ represent the father's weight. Half of the father's weight is $\frac{x}{2}$. Adding 6 pounds to this half gives Zorna's weight, so the equation is: $$\frac{x}{2} + 6 = 92$$ 3. **Solve the equation:** Subtract 6 from both sides: $$\frac{x}{2} + 6 - 6 = 92 - 6$$ $$\frac{x}{2} = 86$$ 4. **Multiply both sides by 2 to solve for $x$:** $$2 \times \frac{x}{2} = 2 \times 86$$ $$\cancel{2} \times \frac{x}{\cancel{2}} = 172$$ $$x = 172$$ 5. **Interpretation:** The father's weight is 172 pounds. **Final answer:** $x = 172$ pounds.