0.005(1-k)+0.06(k-9)=1

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Solution for 0.005(1-k)+0.06(k-9)=1 equation: 


Simplifying
0.005(1 + -1k) + 0.06(k + -9) = 1
(1 * 0.005 + -1k * 0.005) + 0.06(k + -9) = 1
(0.005 + -0.005k) + 0.06(k + -9) = 1

Reorder the terms:
0.005 + -0.005k + 0.06(-9 + k) = 1
0.005 + -0.005k + (-9 * 0.06 + k * 0.06) = 1
0.005 + -0.005k + (-0.54 + 0.06k) = 1

Reorder the terms:
0.005 + -0.54 + -0.005k + 0.06k = 1

Combine like terms: 0.005 + -0.54 = -0.535
-0.535 + -0.005k + 0.06k = 1

Combine like terms: -0.005k + 0.06k = 0.055k
-0.535 + 0.055k = 1

Solving
-0.535 + 0.055k = 1

Solving for variable 'k'.

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

Add '0.535' to each side of the equation.
-0.535 + 0.535 + 0.055k = 1 + 0.535

Combine like terms: -0.535 + 0.535 = 0.000
0.000 + 0.055k = 1 + 0.535
0.055k = 1 + 0.535

Combine like terms: 1 + 0.535 = 1.535
0.055k = 1.535

Divide each side by '0.055'.
k = 27.90909091

Simplifying
k = 27.90909091

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