1. **State the problem:** Solve the equation $10a = 60$ for $a$. 2. **Formula and rules:** To solve for $a$, we need to isolate $a$ on one side of the equation. Since $a$ is multiplied by 10, we divide both sides by 10. 3. **Intermediate work:** $$10a = 60$$ Divide both sides by 10: $$\frac{\cancel{10}a}{\cancel{10}} = \frac{60}{10}$$ 4. **Simplify:** $$a = 6$$ 5. **Explanation:** Dividing both sides by 10 cancels the 10 multiplying $a$, leaving $a$ alone. The right side simplifies to 6, so the solution is $a = 6$. **Final answer:** $a = 6$