Answer:
Explanation:
The equation
![-6(w-4)+8w=2(w+9)](https://img.qammunity.org/2023/formulas/mathematics/college/nggzo0gnpyp318nh19m6w07twgeflmw32e.png)
can be solved for w by first expanding both sides
Now,
![-6(w-4)+8w=2w+24](https://img.qammunity.org/2023/formulas/mathematics/college/fdikqwjfym5gyxg0p7mmmpxifn1612syw4.png)
and
![2(w+9)=2w+18](https://img.qammunity.org/2023/formulas/mathematics/college/t98ourf6domaogz7mtqozoz9hnreguesvi.png)
therefore, our equation becomes
![2w+24=2w+18](https://img.qammunity.org/2023/formulas/mathematics/college/enn2qqqjyfovpr47nt0v3pdre1dsssyawv.png)
Subtracting 2w from both sides gives
![24=18](https://img.qammunity.org/2023/formulas/mathematics/college/3ux7xnfsc08he9at6y5ghppk70zyfs36m0.png)
We see a contradiction here. 24 is not equal to 18; therefore, the equation given has no solutions.