0.009(9-k)+0.06(k-2)=1

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Solution for 0.009(9-k)+0.06(k-2)=1 equation: 


Simplifying
0.009(9 + -1k) + 0.06(k + -2) = 1
(9 * 0.009 + -1k * 0.009) + 0.06(k + -2) = 1
(0.081 + -0.009k) + 0.06(k + -2) = 1

Reorder the terms:
0.081 + -0.009k + 0.06(-2 + k) = 1
0.081 + -0.009k + (-2 * 0.06 + k * 0.06) = 1
0.081 + -0.009k + (-0.12 + 0.06k) = 1

Reorder the terms:
0.081 + -0.12 + -0.009k + 0.06k = 1

Combine like terms: 0.081 + -0.12 = -0.039
-0.039 + -0.009k + 0.06k = 1

Combine like terms: -0.009k + 0.06k = 0.051k
-0.039 + 0.051k = 1

Solving
-0.039 + 0.051k = 1

Solving for variable 'k'.

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

Add '0.039' to each side of the equation.
-0.039 + 0.039 + 0.051k = 1 + 0.039

Combine like terms: -0.039 + 0.039 = 0.000
0.000 + 0.051k = 1 + 0.039
0.051k = 1 + 0.039

Combine like terms: 1 + 0.039 = 1.039
0.051k = 1.039

Divide each side by '0.051'.
k = 20.37254902

Simplifying
k = 20.37254902

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