solve |2n-7|=3

To solve the absolute value equation |2n-7| = 3, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 2n-7 is positive:
For this case, we set 2n-7 = 3 and solve for n.
Adding 7 to both sides:
2n = 10
Dividing both sides by 2:
n = 5

Case 2: 2n-7 is negative:
In this case, the absolute value of a negative number is its opposite. So, we have:
2n-7 = -3

Adding 7 to both sides:
2n = 4
Dividing both sides by 2:
n = 2

Therefore, the solutions to the equation |2n-7| = 3 are n = 5 and n = 2.