Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 2}}}}}[/tex]
Option D is the correct option.
Step-by-step explanation:
[tex] \sf{8(1 - 3k) + 1 = - 25 - 7k}[/tex]
Distribute 8 through the parentheses
[tex] \longrightarrow{ \sf{8 - 24k + 1 = - 25 - 7k}}[/tex]
Add the numbers : 8 and 1
[tex] \longrightarrow{ \sf{9 - 24k = - 25 - 7k}}[/tex]
Move 7k to left hand side and change it's sign
Similarly, move 9 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 24k + 7k = - 25 - 9}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ - 17k = - 25 - 9}}[/tex]
Calculate
[tex] \longrightarrow{ \sf{ - 17k = - 34}}[/tex]
Divide both sides by -17
[tex] \longrightarrow{ \sf{ \frac{ - 17k}{ - 17} = \frac{ - 34}{ - 17} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{k = 2}}[/tex]
Hope I helped!
Best regards! :D
