.002(2-k)+.01(k-6)=1

Solution for .002(2-k)+.01(k-6)=1 equation:

Simplifying
0.002(2 + -1k) + 0.01(k + -6) = 1
(2 * 0.002 + -1k * 0.002) + 0.01(k + -6) = 1
(0.004 + -0.002k) + 0.01(k + -6) = 1

Reorder the terms:
0.004 + -0.002k + 0.01(-6 + k) = 1
0.004 + -0.002k + (-6 * 0.01 + k * 0.01) = 1
0.004 + -0.002k + (-0.06 + 0.01k) = 1

Reorder the terms:
0.004 + -0.06 + -0.002k + 0.01k = 1

Combine like terms: 0.004 + -0.06 = -0.056
-0.056 + -0.002k + 0.01k = 1

Combine like terms: -0.002k + 0.01k = 0.008k
-0.056 + 0.008k = 1

Solving
-0.056 + 0.008k = 1

Solving for variable 'k'.

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

Add '0.056' to each side of the equation.
-0.056 + 0.056 + 0.008k = 1 + 0.056

Combine like terms: -0.056 + 0.056 = 0.000
0.000 + 0.008k = 1 + 0.056
0.008k = 1 + 0.056

Combine like terms: 1 + 0.056 = 1.056
0.008k = 1.056

Divide each side by '0.008'.
k = 132

Simplifying
k = 132