.002(1-k)+.06(k-2)=1

Solution for .002(1-k)+.06(k-2)=1 equation:

Simplifying
0.002(1 + -1k) + 0.06(k + -2) = 1
(1 * 0.002 + -1k * 0.002) + 0.06(k + -2) = 1
(0.002 + -0.002k) + 0.06(k + -2) = 1

Reorder the terms:
0.002 + -0.002k + 0.06(-2 + k) = 1
0.002 + -0.002k + (-2 * 0.06 + k * 0.06) = 1
0.002 + -0.002k + (-0.12 + 0.06k) = 1

Reorder the terms:
0.002 + -0.12 + -0.002k + 0.06k = 1

Combine like terms: 0.002 + -0.12 = -0.118
-0.118 + -0.002k + 0.06k = 1

Combine like terms: -0.002k + 0.06k = 0.058k
-0.118 + 0.058k = 1

Solving
-0.118 + 0.058k = 1

Solving for variable 'k'.

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

Add '0.118' to each side of the equation.
-0.118 + 0.118 + 0.058k = 1 + 0.118

Combine like terms: -0.118 + 0.118 = 0.000
0.000 + 0.058k = 1 + 0.118
0.058k = 1 + 0.118

Combine like terms: 1 + 0.118 = 1.118
0.058k = 1.118

Divide each side by '0.058'.
k = 19.27586207

Simplifying
k = 19.27586207