0.009(3-k)+0.09(k-5)=1

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Solution for 0.009(3-k)+0.09(k-5)=1 equation: 


Simplifying
0.009(3 + -1k) + 0.09(k + -5) = 1
(3 * 0.009 + -1k * 0.009) + 0.09(k + -5) = 1
(0.027 + -0.009k) + 0.09(k + -5) = 1

Reorder the terms:
0.027 + -0.009k + 0.09(-5 + k) = 1
0.027 + -0.009k + (-5 * 0.09 + k * 0.09) = 1
0.027 + -0.009k + (-0.45 + 0.09k) = 1

Reorder the terms:
0.027 + -0.45 + -0.009k + 0.09k = 1

Combine like terms: 0.027 + -0.45 = -0.423
-0.423 + -0.009k + 0.09k = 1

Combine like terms: -0.009k + 0.09k = 0.081k
-0.423 + 0.081k = 1

Solving
-0.423 + 0.081k = 1

Solving for variable 'k'.

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

Add '0.423' to each side of the equation.
-0.423 + 0.423 + 0.081k = 1 + 0.423

Combine like terms: -0.423 + 0.423 = 0.000
0.000 + 0.081k = 1 + 0.423
0.081k = 1 + 0.423

Combine like terms: 1 + 0.423 = 1.423
0.081k = 1.423

Divide each side by '0.081'.
k = 17.56790123

Simplifying
k = 17.56790123

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