.009(3-k)+0.01(k-3)=1

Solution for .009(3-k)+0.01(k-3)=1 equation:

Simplifying
0.009(3 + -1k) + 0.01(k + -3) = 1
(3 * 0.009 + -1k * 0.009) + 0.01(k + -3) = 1
(0.027 + -0.009k) + 0.01(k + -3) = 1

Reorder the terms:
0.027 + -0.009k + 0.01(-3 + k) = 1
0.027 + -0.009k + (-3 * 0.01 + k * 0.01) = 1
0.027 + -0.009k + (-0.03 + 0.01k) = 1

Reorder the terms:
0.027 + -0.03 + -0.009k + 0.01k = 1

Combine like terms: 0.027 + -0.03 = -0.003
-0.003 + -0.009k + 0.01k = 1

Combine like terms: -0.009k + 0.01k = 0.001k
-0.003 + 0.001k = 1

Solving
-0.003 + 0.001k = 1

Solving for variable 'k'.

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

Add '0.003' to each side of the equation.
-0.003 + 0.003 + 0.001k = 1 + 0.003

Combine like terms: -0.003 + 0.003 = 0.000
0.000 + 0.001k = 1 + 0.003
0.001k = 1 + 0.003

Combine like terms: 1 + 0.003 = 1.003
0.001k = 1.003

Divide each side by '0.001'.
k = 1003

Simplifying
k = 1003