To simplify the expression A = (3n - 2)/(5n - 3), we can start by factoring the numerator and denominator.

The numerator, 3n - 2, cannot be factored further.

The denominator, 5n - 3, can be factored as (5n - 3) = (5n - 1) - 2 = 5(n - 1) - 2.

Now we can rewrite the expression as A = (3n - 2)/(5(n - 1) - 2).

Next, we can simplify the denominator by distributing the 5:

A = (3n - 2)/(5n - 5 - 2).

Simplifying further:

A = (3n - 2)/(5n - 7).

Therefore, the simplified expression is A = (3n - 2)/(5n - 7).