Final answer:
To solve for n in the equation n + 3P² = 2(n + 2P²), we isolate n to find that the value of n is -P².
Step-by-step explanation:
To solve the equation n + 3P² = 2(n + 2P²), let's simplify and isolate the variable n. Start by expanding the right side of the equation.
1. n + 3P² = 2n + 4P²
Subtract n from both sides to get the variable n on one side and subtract 3P² from both sides to get the term with P on the other side:
2. n + 3P² - n - 3P² = 2n + 4P² - n - 3P²
Which simplifies to:
3. 0 = n + P²
Now subtract P² from both sides:
4. -P² = n
So the value of n in terms of P is n = -P².
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