0.009(6-k)+0.05(k-4)=1

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Solution for 0.009(6-k)+0.05(k-4)=1 equation: 


Simplifying
0.009(6 + -1k) + 0.05(k + -4) = 1
(6 * 0.009 + -1k * 0.009) + 0.05(k + -4) = 1
(0.054 + -0.009k) + 0.05(k + -4) = 1

Reorder the terms:
0.054 + -0.009k + 0.05(-4 + k) = 1
0.054 + -0.009k + (-4 * 0.05 + k * 0.05) = 1
0.054 + -0.009k + (-0.2 + 0.05k) = 1

Reorder the terms:
0.054 + -0.2 + -0.009k + 0.05k = 1

Combine like terms: 0.054 + -0.2 = -0.146
-0.146 + -0.009k + 0.05k = 1

Combine like terms: -0.009k + 0.05k = 0.041k
-0.146 + 0.041k = 1

Solving
-0.146 + 0.041k = 1

Solving for variable 'k'.

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

Add '0.146' to each side of the equation.
-0.146 + 0.146 + 0.041k = 1 + 0.146

Combine like terms: -0.146 + 0.146 = 0.000
0.000 + 0.041k = 1 + 0.146
0.041k = 1 + 0.146

Combine like terms: 1 + 0.146 = 1.146
0.041k = 1.146

Divide each side by '0.041'.
k = 27.95121951

Simplifying
k = 27.95121951

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