1. **State the problem:** Solve the equation $25j = 14$ for $j$. 2. **Formula and rules:** To solve for $j$, divide both sides of the equation by 25. When dividing both sides by the same nonzero number, the equality remains true. 3. **Intermediate work:** $$25j = 14$$ Divide both sides by 25: $$\cancel{25}j = \frac{14}{\cancel{25}}$$ This simplifies to: $$j = \frac{14}{25}$$ 4. **Explanation:** We isolated $j$ by dividing both sides by 25, which cancels the coefficient of $j$ on the left side, leaving $j$ alone. The right side becomes the fraction $\frac{14}{25}$. 5. **Final answer:** $$j = \frac{14}{25}$$