The problem is to simplify the expression $3a(4a-2) - 4a(3a-2)$.

1. Problem Description

The problem is to simplify the expression $3a(4a-2) - 4a(3a-2)$.

2. Solution Steps

First, we distribute $3a$ into the first parenthesis $(4a-2)$:

$3a(4a-2) = 3a \cdot 4a - 3a \cdot 2 = 12a^2 - 6a$.

Next, we distribute $-4a$ into the second parenthesis $(3a-2)$:

$-4a(3a-2) = -4a \cdot 3a - (-4a) \cdot 2 = -12a^2 + 8a$.

Now, we combine the results:

$12a^2 - 6a - 12a^2 + 8a = (12a^2 - 12a^2) + (-6a + 8a)$.

Simplifying, we have:

$0a^2 + 2a = 2a$.

3. Final Answer

$2a$