Answer:
k = 8
Step-by-step explanation:
We know that 8(10-k) = 2k so:
8(10−k)=2k
Simplify both sides of the equation:
8(10−k)=2k
(8)(10)+(8)(−k)=2k
80+−8k=2k
−8k+80=2k
Subtract 2k from both sides:
−8k+80−2k=2k−2k
−10k+80=0
Subtract 80 from both sides:
−10k+80−80=0−80
−10k=−80
Divide both sides by -10:
[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]
k = 8
