We are asked to simplify the expression $3a(4a-2) - 4a(3a-2)$.

1. Problem Description

We are asked to simplify the expression $3a(4a-2) - 4a(3a-2)$.

2. Solution Steps

First, we distribute $3a$ to the terms inside the first parenthesis and $4a$ to the terms inside the second parenthesis.

$3a(4a - 2) = 3a * 4a - 3a * 2 = 12a^2 - 6a$

$4a(3a - 2) = 4a * 3a - 4a * 2 = 12a^2 - 8a$

So, the original expression becomes:

$12a^2 - 6a - (12a^2 - 8a)$

Now we distribute the negative sign to the terms inside the parenthesis:

$12a^2 - 6a - 12a^2 + 8a$

Combine like terms:

$(12a^2 - 12a^2) + (-6a + 8a) = 0a^2 + 2a = 2a$

3. Final Answer

$2a$