0.008(3-k)+0.08(k-2)=1

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Solution for 0.008(3-k)+0.08(k-2)=1 equation: 


Simplifying
0.008(3 + -1k) + 0.08(k + -2) = 1
(3 * 0.008 + -1k * 0.008) + 0.08(k + -2) = 1
(0.024 + -0.008k) + 0.08(k + -2) = 1

Reorder the terms:
0.024 + -0.008k + 0.08(-2 + k) = 1
0.024 + -0.008k + (-2 * 0.08 + k * 0.08) = 1
0.024 + -0.008k + (-0.16 + 0.08k) = 1

Reorder the terms:
0.024 + -0.16 + -0.008k + 0.08k = 1

Combine like terms: 0.024 + -0.16 = -0.136
-0.136 + -0.008k + 0.08k = 1

Combine like terms: -0.008k + 0.08k = 0.072k
-0.136 + 0.072k = 1

Solving
-0.136 + 0.072k = 1

Solving for variable 'k'.

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

Add '0.136' to each side of the equation.
-0.136 + 0.136 + 0.072k = 1 + 0.136

Combine like terms: -0.136 + 0.136 = 0.000
0.000 + 0.072k = 1 + 0.136
0.072k = 1 + 0.136

Combine like terms: 1 + 0.136 = 1.136
0.072k = 1.136

Divide each side by '0.072'.
k = 15.77777778

Simplifying
k = 15.77777778

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