0.004(8-k)+0.08(k-6)=1

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Solution for 0.004(8-k)+0.08(k-6)=1 equation: 


Simplifying
0.004(8 + -1k) + 0.08(k + -6) = 1
(8 * 0.004 + -1k * 0.004) + 0.08(k + -6) = 1
(0.032 + -0.004k) + 0.08(k + -6) = 1

Reorder the terms:
0.032 + -0.004k + 0.08(-6 + k) = 1
0.032 + -0.004k + (-6 * 0.08 + k * 0.08) = 1
0.032 + -0.004k + (-0.48 + 0.08k) = 1

Reorder the terms:
0.032 + -0.48 + -0.004k + 0.08k = 1

Combine like terms: 0.032 + -0.48 = -0.448
-0.448 + -0.004k + 0.08k = 1

Combine like terms: -0.004k + 0.08k = 0.076k
-0.448 + 0.076k = 1

Solving
-0.448 + 0.076k = 1

Solving for variable 'k'.

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

Add '0.448' to each side of the equation.
-0.448 + 0.448 + 0.076k = 1 + 0.448

Combine like terms: -0.448 + 0.448 = 0.000
0.000 + 0.076k = 1 + 0.448
0.076k = 1 + 0.448

Combine like terms: 1 + 0.448 = 1.448
0.076k = 1.448

Divide each side by '0.076'.
k = 19.05263158

Simplifying
k = 19.05263158

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