Solve for n.

Question

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Answer 1

To solve for n in the given equation, let's simplify the expression:

3n + 1 = 4(2n - 3)

First, distribute the 4 on the right side:

3n + 1 = 8n - 12

Next, let's isolate the n term on one side of the equation. We can do this by subtracting 3n from both sides:

3n - 3n + 1 = 8n - 3n - 12

This simplifies to:

1 = 5n - 12

Now, let's isolate the n term on one side of the equation. We can do this by adding 12 to both sides:

1 + 12 = 5n - 12 + 12

This simplifies to:

13 = 5n

Finally, let's solve for n by dividing both sides by 5:

13/5 = (5n)/5

This simplifies to:

13/5 = n

So, n is equal to 13/5.