1. **State the problem:** Solve for $N$ in an equation where $N$ is the unknown variable. 2. **General approach:** To solve for $N$, isolate $N$ on one side of the equation by performing inverse operations such as addition, subtraction, multiplication, or division. 3. **Example:** Suppose the equation is $aN + b = c$ where $a$, $b$, and $c$ are constants. 4. **Isolate $N$:** Subtract $b$ from both sides: $$aN + b - b = c - b$$ $$aN = c - b$$ 5. **Divide both sides by $a$ to solve for $N$:** $$\frac{\cancel{a}N}{\cancel{a}} = \frac{c - b}{a}$$ $$N = \frac{c - b}{a}$$ 6. **Explanation:** We used inverse operations to isolate $N$. Subtracting $b$ removes it from the left side, and dividing by $a$ cancels the coefficient of $N$. 7. **Final answer:** $$N = \frac{c - b}{a}$$