0.004(1-k)+0.08(k-2)=0

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Solution for 0.004(1-k)+0.08(k-2)=0 equation: 


Simplifying
0.004(1 + -1k) + 0.08(k + -2) = 0
(1 * 0.004 + -1k * 0.004) + 0.08(k + -2) = 0
(0.004 + -0.004k) + 0.08(k + -2) = 0

Reorder the terms:
0.004 + -0.004k + 0.08(-2 + k) = 0
0.004 + -0.004k + (-2 * 0.08 + k * 0.08) = 0
0.004 + -0.004k + (-0.16 + 0.08k) = 0

Reorder the terms:
0.004 + -0.16 + -0.004k + 0.08k = 0

Combine like terms: 0.004 + -0.16 = -0.156
-0.156 + -0.004k + 0.08k = 0

Combine like terms: -0.004k + 0.08k = 0.076k
-0.156 + 0.076k = 0

Solving
-0.156 + 0.076k = 0

Solving for variable 'k'.

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

Add '0.156' to each side of the equation.
-0.156 + 0.156 + 0.076k = 0 + 0.156

Combine like terms: -0.156 + 0.156 = 0.000
0.000 + 0.076k = 0 + 0.156
0.076k = 0 + 0.156

Combine like terms: 0 + 0.156 = 0.156
0.076k = 0.156

Divide each side by '0.076'.
k = 2.052631579

Simplifying
k = 2.052631579

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