0.002(5-k)+0.02(k-8)=1

Solution for 0.002(5-k)+0.02(k-8)=1 equation:

Simplifying
0.002(5 + -1k) + 0.02(k + -8) = 1
(5 * 0.002 + -1k * 0.002) + 0.02(k + -8) = 1
(0.01 + -0.002k) + 0.02(k + -8) = 1

Reorder the terms:
0.01 + -0.002k + 0.02(-8 + k) = 1
0.01 + -0.002k + (-8 * 0.02 + k * 0.02) = 1
0.01 + -0.002k + (-0.16 + 0.02k) = 1

Reorder the terms:
0.01 + -0.16 + -0.002k + 0.02k = 1

Combine like terms: 0.01 + -0.16 = -0.15
-0.15 + -0.002k + 0.02k = 1

Combine like terms: -0.002k + 0.02k = 0.018k
-0.15 + 0.018k = 1

Solving
-0.15 + 0.018k = 1

Solving for variable 'k'.

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

Add '0.15' to each side of the equation.
-0.15 + 0.15 + 0.018k = 1 + 0.15

Combine like terms: -0.15 + 0.15 = 0.00
0.00 + 0.018k = 1 + 0.15
0.018k = 1 + 0.15

Combine like terms: 1 + 0.15 = 1.15
0.018k = 1.15

Divide each side by '0.018'.
k = 63.88888889

Simplifying
k = 63.88888889