.009(2-k)+.02(k-8)=1

Solution for .009(2-k)+.02(k-8)=1 equation:

Simplifying
0.009(2 + -1k) + 0.02(k + -8) = 1
(2 * 0.009 + -1k * 0.009) + 0.02(k + -8) = 1
(0.018 + -0.009k) + 0.02(k + -8) = 1

Reorder the terms:
0.018 + -0.009k + 0.02(-8 + k) = 1
0.018 + -0.009k + (-8 * 0.02 + k * 0.02) = 1
0.018 + -0.009k + (-0.16 + 0.02k) = 1

Reorder the terms:
0.018 + -0.16 + -0.009k + 0.02k = 1

Combine like terms: 0.018 + -0.16 = -0.142
-0.142 + -0.009k + 0.02k = 1

Combine like terms: -0.009k + 0.02k = 0.011k
-0.142 + 0.011k = 1

Solving
-0.142 + 0.011k = 1

Solving for variable 'k'.

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

Add '0.142' to each side of the equation.
-0.142 + 0.142 + 0.011k = 1 + 0.142

Combine like terms: -0.142 + 0.142 = 0.000
0.000 + 0.011k = 1 + 0.142
0.011k = 1 + 0.142

Combine like terms: 1 + 0.142 = 1.142
0.011k = 1.142

Divide each side by '0.011'.
k = 103.8181818

Simplifying
k = 103.8181818