Final answer:
The solution to the given equation (n+2/5) = 12(n/3) is n = 2/15. This solution is reached by simplifying the equation, rearranging it to have terms involving 'n' on one side, and dividing by the remaining coefficient.
Step-by-step explanation:
In our question, we are given the equation (n+2/5) = 12(n/3). To find the value of 'n', we first need to simplify this equation. Let's multiply the entire equation by 15 to eliminate the fractional parts, which gives us 15n + 6 = 60n. We can then rearrange to get the terms involving 'n' on one side: 60n - 15n = 6. Simplifying this gives 45n = 6.
Finally, to get our answer, we divide both sides of the equation by 45. So, n = 6 / 45 which simplifies to n = 2 / 15 after both numbers are divided by 3. Hence, using the provided equation and the steps outlined, you can determine that the solution to the problem is n = 2/15.
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