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

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

Simplifying
0.002(2 + -1k) + (k + -2) = 1
(2 * 0.002 + -1k * 0.002) + (k + -2) = 1
(0.004 + -0.002k) + (k + -2) = 1

Reorder the terms:
0.004 + -0.002k + (-2 + k) = 1

Remove parenthesis around (-2 + k)
0.004 + -0.002k + -2 + k = 1

Reorder the terms:
0.004 + -2 + -0.002k + k = 1

Combine like terms: 0.004 + -2 = -1.996
-1.996 + -0.002k + k = 1

Combine like terms: -0.002k + k = 0.998k
-1.996 + 0.998k = 1

Solving
-1.996 + 0.998k = 1

Solving for variable 'k'.

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

Add '1.996' to each side of the equation.
-1.996 + 1.996 + 0.998k = 1 + 1.996

Combine like terms: -1.996 + 1.996 = 0.000
0.000 + 0.998k = 1 + 1.996
0.998k = 1 + 1.996

Combine like terms: 1 + 1.996 = 2.996
0.998k = 2.996

Divide each side by '0.998'.
k = 3.002004008

Simplifying
k = 3.002004008