Step 1. The expression that we have is:
![\left(-6\right)\left(-2\right)+\left(+8\right)\left(-4\right)](https://img.qammunity.org/2023/formulas/mathematics/college/iqjd92xr6yf3du7dahelfgv8e5rdlcok2z.png)
And we need to solve the operations to find the answer.
Step 2. We need to make the multiplications first:
(-6)(-2)=12
and
(+8)(-4)=-32
here we have applied the law of signs:
![\begin{gathered} (-)(-)=+ \\ (+)(-)=- \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fboyran37nxxppx5yttowfc5lcju5g0d13.png)
The solution to the multiplications is shown here:
The expression now is:
![12+(-32)](https://img.qammunity.org/2023/formulas/mathematics/college/81l5u5ev907cyo48wuxkmccxh55akgtxo9.png)
Step 3. Now we solve the expression considering that
(+)(-) is -
![12-32](https://img.qammunity.org/2023/formulas/mathematics/college/bzdi43u61xjemygid4bmy2wqd6dkcge5dj.png)
The result of the subtraction is:
![-20](https://img.qammunity.org/2023/formulas/mathematics/high-school/9fxu5vqodxvou2tjpefl6thq7ct31evb5z.png)
Answer:
![-20](https://img.qammunity.org/2023/formulas/mathematics/high-school/9fxu5vqodxvou2tjpefl6thq7ct31evb5z.png)