0.008(4-k)+0.09(k-6)=1

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Solution for 0.008(4-k)+0.09(k-6)=1 equation: 


Simplifying
0.008(4 + -1k) + 0.09(k + -6) = 1
(4 * 0.008 + -1k * 0.008) + 0.09(k + -6) = 1
(0.032 + -0.008k) + 0.09(k + -6) = 1

Reorder the terms:
0.032 + -0.008k + 0.09(-6 + k) = 1
0.032 + -0.008k + (-6 * 0.09 + k * 0.09) = 1
0.032 + -0.008k + (-0.54 + 0.09k) = 1

Reorder the terms:
0.032 + -0.54 + -0.008k + 0.09k = 1

Combine like terms: 0.032 + -0.54 = -0.508
-0.508 + -0.008k + 0.09k = 1

Combine like terms: -0.008k + 0.09k = 0.082k
-0.508 + 0.082k = 1

Solving
-0.508 + 0.082k = 1

Solving for variable 'k'.

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

Add '0.508' to each side of the equation.
-0.508 + 0.508 + 0.082k = 1 + 0.508

Combine like terms: -0.508 + 0.508 = 0.000
0.000 + 0.082k = 1 + 0.508
0.082k = 1 + 0.508

Combine like terms: 1 + 0.508 = 1.508
0.082k = 1.508

Divide each side by '0.082'.
k = 18.3902439

Simplifying
k = 18.3902439

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