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

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


Simplifying
0.009(2 + -1k) + 0.06(k + -1) = 1
(2 * 0.009 + -1k * 0.009) + 0.06(k + -1) = 1
(0.018 + -0.009k) + 0.06(k + -1) = 1

Reorder the terms:
0.018 + -0.009k + 0.06(-1 + k) = 1
0.018 + -0.009k + (-1 * 0.06 + k * 0.06) = 1
0.018 + -0.009k + (-0.06 + 0.06k) = 1

Reorder the terms:
0.018 + -0.06 + -0.009k + 0.06k = 1

Combine like terms: 0.018 + -0.06 = -0.042
-0.042 + -0.009k + 0.06k = 1

Combine like terms: -0.009k + 0.06k = 0.051k
-0.042 + 0.051k = 1

Solving
-0.042 + 0.051k = 1

Solving for variable 'k'.

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

Add '0.042' to each side of the equation.
-0.042 + 0.042 + 0.051k = 1 + 0.042

Combine like terms: -0.042 + 0.042 = 0.000
0.000 + 0.051k = 1 + 0.042
0.051k = 1 + 0.042

Combine like terms: 1 + 0.042 = 1.042
0.051k = 1.042

Divide each side by '0.051'.
k = 20.43137255

Simplifying
k = 20.43137255

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