0.003(5-k)+0.08(k-4)=1

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Solution for 0.003(5-k)+0.08(k-4)=1 equation: 


Simplifying
0.003(5 + -1k) + 0.08(k + -4) = 1
(5 * 0.003 + -1k * 0.003) + 0.08(k + -4) = 1
(0.015 + -0.003k) + 0.08(k + -4) = 1

Reorder the terms:
0.015 + -0.003k + 0.08(-4 + k) = 1
0.015 + -0.003k + (-4 * 0.08 + k * 0.08) = 1
0.015 + -0.003k + (-0.32 + 0.08k) = 1

Reorder the terms:
0.015 + -0.32 + -0.003k + 0.08k = 1

Combine like terms: 0.015 + -0.32 = -0.305
-0.305 + -0.003k + 0.08k = 1

Combine like terms: -0.003k + 0.08k = 0.077k
-0.305 + 0.077k = 1

Solving
-0.305 + 0.077k = 1

Solving for variable 'k'.

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

Add '0.305' to each side of the equation.
-0.305 + 0.305 + 0.077k = 1 + 0.305

Combine like terms: -0.305 + 0.305 = 0.000
0.000 + 0.077k = 1 + 0.305
0.077k = 1 + 0.305

Combine like terms: 1 + 0.305 = 1.305
0.077k = 1.305

Divide each side by '0.077'.
k = 16.94805195

Simplifying
k = 16.94805195

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