0.004(1-k)+0.0(k-1)=1

Solution for 0.004(1-k)+0.0(k-1)=1 equation:

Simplifying
0.004(1 + -1k) + 0.0(k + -1) = 1
(1 * 0.004 + -1k * 0.004) + 0.0(k + -1) = 1
(0.004 + -0.004k) + 0.0(k + -1) = 1

Reorder the terms:
0.004 + -0.004k + 0.0(-1 + k) = 1

Anything times zero is zero.
0.004 + -0.004k + 0.0(-1 + k) = 1

Reorder the terms:
0.004 + 0.0 + -0.004k = 1

Combine like terms: 0.004 + 0.0 = 0.004
0.004 + -0.004k = 1

Solving
0.004 + -0.004k = 1

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-0.004' to each side of the equation.
0.004 + -0.004 + -0.004k = 1 + -0.004

Combine like terms: 0.004 + -0.004 = 0.000
0.000 + -0.004k = 1 + -0.004
-0.004k = 1 + -0.004

Combine like terms: 1 + -0.004 = 0.996
-0.004k = 0.996

Divide each side by '-0.004'.
k = -249

Simplifying
k = -249