0.002(2-k)+0.04(k-3)=1

Solution for 0.002(2-k)+0.04(k-3)=1 equation:

Simplifying
0.002(2 + -1k) + 0.04(k + -3) = 1
(2 * 0.002 + -1k * 0.002) + 0.04(k + -3) = 1
(0.004 + -0.002k) + 0.04(k + -3) = 1

Reorder the terms:
0.004 + -0.002k + 0.04(-3 + k) = 1
0.004 + -0.002k + (-3 * 0.04 + k * 0.04) = 1
0.004 + -0.002k + (-0.12 + 0.04k) = 1

Reorder the terms:
0.004 + -0.12 + -0.002k + 0.04k = 1

Combine like terms: 0.004 + -0.12 = -0.116
-0.116 + -0.002k + 0.04k = 1

Combine like terms: -0.002k + 0.04k = 0.038k
-0.116 + 0.038k = 1

Solving
-0.116 + 0.038k = 1

Solving for variable 'k'.

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

Add '0.116' to each side of the equation.
-0.116 + 0.116 + 0.038k = 1 + 0.116

Combine like terms: -0.116 + 0.116 = 0.000
0.000 + 0.038k = 1 + 0.116
0.038k = 1 + 0.116

Combine like terms: 1 + 0.116 = 1.116
0.038k = 1.116

Divide each side by '0.038'.
k = 29.36842105

Simplifying
k = 29.36842105