0.004(2-k)+0.08(k-5)=1

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Solution for 0.004(2-k)+0.08(k-5)=1 equation: 


Simplifying
0.004(2 + -1k) + 0.08(k + -5) = 1
(2 * 0.004 + -1k * 0.004) + 0.08(k + -5) = 1
(0.008 + -0.004k) + 0.08(k + -5) = 1

Reorder the terms:
0.008 + -0.004k + 0.08(-5 + k) = 1
0.008 + -0.004k + (-5 * 0.08 + k * 0.08) = 1
0.008 + -0.004k + (-0.4 + 0.08k) = 1

Reorder the terms:
0.008 + -0.4 + -0.004k + 0.08k = 1

Combine like terms: 0.008 + -0.4 = -0.392
-0.392 + -0.004k + 0.08k = 1

Combine like terms: -0.004k + 0.08k = 0.076k
-0.392 + 0.076k = 1

Solving
-0.392 + 0.076k = 1

Solving for variable 'k'.

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

Add '0.392' to each side of the equation.
-0.392 + 0.392 + 0.076k = 1 + 0.392

Combine like terms: -0.392 + 0.392 = 0.000
0.000 + 0.076k = 1 + 0.392
0.076k = 1 + 0.392

Combine like terms: 1 + 0.392 = 1.392
0.076k = 1.392

Divide each side by '0.076'.
k = 18.31578947

Simplifying
k = 18.31578947

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