The problem requires simplifying the expression $(3ab - 2a^2 - 7) + (6 - 4a^2 - 2ba)$.

1. Problem Description

The problem requires simplifying the expression $(3ab - 2a^2 - 7) + (6 - 4a^2 - 2ba)$.

2. Solution Steps

First, we can remove the parentheses:

$3ab - 2a^2 - 7 + 6 - 4a^2 - 2ba$.

Next, we combine like terms. Note that $ba = ab$, so $-2ba = -2ab$:

$3ab - 2a^2 - 7 + 6 - 4a^2 - 2ab$.

Combining the $ab$ terms, $3ab - 2ab = (3-2)ab = ab$.

Combining the $a^2$ terms, $-2a^2 - 4a^2 = (-2-4)a^2 = -6a^2$.

Combining the constant terms, $-7 + 6 = -1$.

So the expression becomes $ab - 6a^2 - 1$.

3. Final Answer

$ab - 6a^2 - 1$