N/3 - 5n/6 =1/3 what is n in simplified form

Answer 1

To solve for n in the equation N/3 - 5n/6 = 1/3, we first need to get rid of the fractions by finding a common denominator.

The common denominator for 3 and 6 is 6.

Now, we can rewrite the equation as:

2N/6 - 5n/6 = 2/6

Combining like terms, we have:

(2N - 5n) / 6 = 2/6

Multiplying both sides by 6 to get rid of the denominator, we get:

2N - 5n = 2

Rearranging the terms, we get:

2N = 5n + 2

Now, to solve for n, we want to isolate n by getting all terms involving n on one side of the equation. Let's subtract 5n from both sides:

2N - 5n = 2
2N = 5n + 2

2N - 5n = 2
-3n = 2N - 2

Dividing by -3 on both sides, we get:

n = (2 - 2N)/3

So, n in simplified form is (2 - 2N)/3.