To solve this equation, you must multiply by a denominator and then subtract to isolate a variable.
Remove the Denominator
Multiply by 4 on both sides of the equation.
![\displaystyle 4(5 + (k)/(4)) = 4(3)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/kqdytbza9t2klezfel8jexfhlcy861pt66.png)
![\displaystyle 20 + k = 12](https://img.qammunity.org/2022/formulas/mathematics/middle-school/rjh51fwzsd8y665ynj4px0h7uuhr57zops.png)
Simplify
Subtract 20 from both sides to isolate the k.
![20 - 20 + k = 12 - 20](https://img.qammunity.org/2022/formulas/mathematics/middle-school/5gsu5nx9zfhxv4mm7zuvysy0x2nt6hcek0.png)
![\boxed{k = -8}](https://img.qammunity.org/2022/formulas/mathematics/middle-school/o7gi9uohw2jkeu9igp0ywbq6xjy2h8nng1.png)
The final answer is k = -8.