Answer:
![q=-2](https://img.qammunity.org/2021/formulas/mathematics/high-school/paaejedkx1ufphgwt1czpb6hvyyp27os0p.png)
Explanation:
![12q+-8=16q](https://img.qammunity.org/2021/formulas/mathematics/high-school/60k790amxor1f1nuxcic8oijfltjt3cg9s.png)
![12q+(-8)=16q](https://img.qammunity.org/2021/formulas/mathematics/high-school/gaaap01yaf0fl3x5alvuy6nypbbzohoaqq.png)
Start by getting rid of the addition sign, as a positive multiplied by a negative is negative:
![12q-8=16q](https://img.qammunity.org/2021/formulas/mathematics/high-school/brlhpv7tai8ur2t8kh0ablmgzz6lrgu0vy.png)
Subtract
from both sides of the equation:
![-8=4q](https://img.qammunity.org/2021/formulas/mathematics/high-school/ij7ba4llffuqsg25jdh8qw5qbr0a365ztx.png)
Divide both sides of the equation by the coefficient of
, which is
:
![-2=q](https://img.qammunity.org/2021/formulas/mathematics/high-school/k8gkdup4y0jkm77nbnoddbv5a0hbq8pv3n.png)
or
![q=-2](https://img.qammunity.org/2021/formulas/mathematics/high-school/paaejedkx1ufphgwt1czpb6hvyyp27os0p.png)
_
Check your by substituting the solved
value in to the initial equation:
![12(-2)+(-8)=16(-2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/hfmd8m6opoz3m0h94jptvvyd8elzqss5in.png)
![-24-8=-32](https://img.qammunity.org/2021/formulas/mathematics/high-school/8y25ljd2raijrz2n7vsuera0paxvgk9cq4.png)
![-32=-32](https://img.qammunity.org/2021/formulas/mathematics/high-school/xy89bru0181btqcnm1kslpxhfey46jx11r.png)
Since both sides of the equation are equal, our answer is correct!