Subjects algebra

Make N Subject 09312E

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1. **State the problem:** Make $n$ the subject of the equation $$n - 2k + 4c^2 = M$$. 2. **Identify the goal:** We want to isolate $n$ on one side of the equation. 3. **Add $2k$ to both sides:** $$n - 2k + 4c^2 + 2k = M + 2k$$ which simplifies to $$n + 4c^2 = M + 2k$$ 4. **Subtract $4c^2$ from both sides:** $$n + 4c^2 - 4c^2 = M + 2k - 4c^2$$ which simplifies to $$n = M + 2k - 4c^2$$ 5. **Final answer:** $$\boxed{n = M + 2k - 4c^2}$$ This means $n$ is expressed in terms of $M$, $k$, and $c$.