(2/5)k + (1/10)k = (1/2)k - 1
0.4k + 0.1k = 0.5k - 1
We need to solve for k.
Subtract 0.4k from both sides
0.4k - 0.4k + 0.1k = 0.5k - 0.4k - 1
0.1k = 0.1k - 1
Subtract 0.1k from both sides:
0.1k - 0.1k = 0.1k - 0.1k - 1
0 = -1
Impossible. The equation has no solution.