![\huge\bf{ANSWER:}](https://img.qammunity.org/2023/formulas/mathematics/high-school/je647jcw5qtkin0crb5vfzezx9ogolq4rh.png)
![\huge\mathrm{k=6}\checkmark](https://img.qammunity.org/2023/formulas/mathematics/high-school/au6ypyxugke59thndp9o8dckzyrvtwshq3.png)
![\huge\bf{SOLUTION:}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ispthk89bn5zn9anv6gcs8sxbo8des2vfx.png)
Hey there, hope you are enjoying your day! :)
Let's solve this math problem. First of all, let's use the Distributive Property:
![\rm{5+4(k-1)=25](https://img.qammunity.org/2023/formulas/mathematics/high-school/xu0xzxsa4fvmr8pggke76xv1j5lpsnw5vi.png)
![\rm{5+4k-4=25](https://img.qammunity.org/2023/formulas/mathematics/high-school/iffvtdqc1fm91gauy2mdd2vflloa1upe87.png)
Now, move all the constants (numbers without a variable next to them) to the right, using the opposite operation:
![\rm{4k=25-5+4](https://img.qammunity.org/2023/formulas/mathematics/high-school/m7uiyk4av13qt33tekaaf8rvhxpbj0xpdu.png)
![\rm{4k=20+4](https://img.qammunity.org/2023/formulas/mathematics/high-school/rlxkful92oucx6aphhw1qw20wka234wryp.png)
Add:
![\rm{4k=24](https://img.qammunity.org/2023/formulas/mathematics/high-school/9heqwx4fvwi3mv0n8zb4a8hcnpnz6p7as1.png)
Divide both sides by 4 in order to isolate k:
(Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
![\bf{-MistySparkles^**^*](https://img.qammunity.org/2023/formulas/mathematics/high-school/7xsqha3ot67bvghox34ecot55daqmaz6va.png)