Let's simplify the given equation step by step:
- 2(3 - a) * (-2)(a - 3) = -(3a - 2)
First, let's simplify the expressions inside the parentheses:
- 2(3 - a) = 6 - 2a
- (-2)(a - 3) = -2a + 6
Substituting these simplified expressions back into the equation:
- (6 - 2a) * (-2a + 6) = -(3a - 2)
Next, distribute the terms on the left side of the equation:
- -2a(6) + 6(-2a) + 6(6) - 2a(6) = -(3a - 2)
- -12a - 12a + 36 + 36 - 12a = -(3a - 2)
Simplifying further:
Now, distribute the negative sign on the right side of the equation:
Rearranging the equation by bringing all the terms to one side:
- -36a + 3a = 2 - 72
- -33a = -70
Finally, solving for 'a' by dividing both sides of the equation by -33:
- a = (-70) / (-33)
- a ≈ 2.1212
Therefore, the solution for 'a' that satisfies the given equation is approximately 2.1212.