0.004(5-k)+0.08(k-4)=1

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Solution for 0.004(5-k)+0.08(k-4)=1 equation: 


Simplifying
0.004(5 + -1k) + 0.08(k + -4) = 1
(5 * 0.004 + -1k * 0.004) + 0.08(k + -4) = 1
(0.02 + -0.004k) + 0.08(k + -4) = 1

Reorder the terms:
0.02 + -0.004k + 0.08(-4 + k) = 1
0.02 + -0.004k + (-4 * 0.08 + k * 0.08) = 1
0.02 + -0.004k + (-0.32 + 0.08k) = 1

Reorder the terms:
0.02 + -0.32 + -0.004k + 0.08k = 1

Combine like terms: 0.02 + -0.32 = -0.3
-0.3 + -0.004k + 0.08k = 1

Combine like terms: -0.004k + 0.08k = 0.076k
-0.3 + 0.076k = 1

Solving
-0.3 + 0.076k = 1

Solving for variable 'k'.

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

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 0.076k = 1 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 0.076k = 1 + 0.3
0.076k = 1 + 0.3

Combine like terms: 1 + 0.3 = 1.3
0.076k = 1.3

Divide each side by '0.076'.
k = 17.10526316

Simplifying
k = 17.10526316

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