0.008(9-k)+0.09(k-8)=1

Solution for 0.008(9-k)+0.09(k-8)=1 equation:

Simplifying
0.008(9 + -1k) + 0.09(k + -8) = 1
(9 * 0.008 + -1k * 0.008) + 0.09(k + -8) = 1
(0.072 + -0.008k) + 0.09(k + -8) = 1

Reorder the terms:
0.072 + -0.008k + 0.09(-8 + k) = 1
0.072 + -0.008k + (-8 * 0.09 + k * 0.09) = 1
0.072 + -0.008k + (-0.72 + 0.09k) = 1

Reorder the terms:
0.072 + -0.72 + -0.008k + 0.09k = 1

Combine like terms: 0.072 + -0.72 = -0.648
-0.648 + -0.008k + 0.09k = 1

Combine like terms: -0.008k + 0.09k = 0.082k
-0.648 + 0.082k = 1

Solving
-0.648 + 0.082k = 1

Solving for variable 'k'.

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

Add '0.648' to each side of the equation.
-0.648 + 0.648 + 0.082k = 1 + 0.648

Combine like terms: -0.648 + 0.648 = 0.000
0.000 + 0.082k = 1 + 0.648
0.082k = 1 + 0.648

Combine like terms: 1 + 0.648 = 1.648
0.082k = 1.648

Divide each side by '0.082'.
k = 20.09756098

Simplifying
k = 20.09756098