0.005(4-k)+0.09(k-5)=1

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Solution for 0.005(4-k)+0.09(k-5)=1 equation: 


Simplifying
0.005(4 + -1k) + 0.09(k + -5) = 1
(4 * 0.005 + -1k * 0.005) + 0.09(k + -5) = 1
(0.02 + -0.005k) + 0.09(k + -5) = 1

Reorder the terms:
0.02 + -0.005k + 0.09(-5 + k) = 1
0.02 + -0.005k + (-5 * 0.09 + k * 0.09) = 1
0.02 + -0.005k + (-0.45 + 0.09k) = 1

Reorder the terms:
0.02 + -0.45 + -0.005k + 0.09k = 1

Combine like terms: 0.02 + -0.45 = -0.43
-0.43 + -0.005k + 0.09k = 1

Combine like terms: -0.005k + 0.09k = 0.085k
-0.43 + 0.085k = 1

Solving
-0.43 + 0.085k = 1

Solving for variable 'k'.

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

Add '0.43' to each side of the equation.
-0.43 + 0.43 + 0.085k = 1 + 0.43

Combine like terms: -0.43 + 0.43 = 0.00
0.00 + 0.085k = 1 + 0.43
0.085k = 1 + 0.43

Combine like terms: 1 + 0.43 = 1.43
0.085k = 1.43

Divide each side by '0.085'.
k = 16.82352941

Simplifying
k = 16.82352941

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