Answer:
![\Huge \boxed{n=-4}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8ug13iw1r17r7ujbe88kgfw197nk2mjffg.png)
Step-by-step explanation:
First thing you do is divide by 3 from both sides of equation.
![\displaystyle (3(-4n-9))/(3)=(21)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tqpy363yaas40nut5bb6gzyq7t6cm5yckx.png)
Simplify.
![\displaystyle -4n-9=7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3v46s4ul98o9rguc7ihiobtofr8mwsdhxm.png)
Then add by 9 from both sides of equation.
![\displaystyle -4n-9+9=7+9](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1bq8xzc64ijpmrvkgg7pvfn9ppd5j8nb6m.png)
Simplify.
![\displaystyle 7+9=16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6mi78ag2i73mz4ugs0hssk4bgujui1ssw8.png)
![\displaystyle -4n=16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ge68bm2n8wvsdr0wpx1r2kbff6hhg60gi0.png)
Divide by -4 from both sides of equation.
![\displaystyle (-4n)/(-4)=(16)/(-4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/twybjxgkn5vdz7igw8uu3ijscfst3ebw5p.png)
Simplify, to find the answer.
![\displaystyle 16/-4=-4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/60dvmh9f0zr5qh7mfpvpmelakmppft77jv.png)
, which is our answer.