0.008(1-k)+0.08(k-8)=1

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Solution for 0.008(1-k)+0.08(k-8)=1 equation:


Simplifying
0.008(1 + -1k) + 0.08(k + -8) = 1
(1 * 0.008 + -1k * 0.008) + 0.08(k + -8) = 1
(0.008 + -0.008k) + 0.08(k + -8) = 1

Reorder the terms:
0.008 + -0.008k + 0.08(-8 + k) = 1
0.008 + -0.008k + (-8 * 0.08 + k * 0.08) = 1
0.008 + -0.008k + (-0.64 + 0.08k) = 1

Reorder the terms:
0.008 + -0.64 + -0.008k + 0.08k = 1

Combine like terms: 0.008 + -0.64 = -0.632
-0.632 + -0.008k + 0.08k = 1

Combine like terms: -0.008k + 0.08k = 0.072k
-0.632 + 0.072k = 1

Solving
-0.632 + 0.072k = 1

Solving for variable 'k'.

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

Add '0.632' to each side of the equation.
-0.632 + 0.632 + 0.072k = 1 + 0.632

Combine like terms: -0.632 + 0.632 = 0.000
0.000 + 0.072k = 1 + 0.632
0.072k = 1 + 0.632

Combine like terms: 1 + 0.632 = 1.632
0.072k = 1.632

Divide each side by '0.072'.
k = 22.66666667

Simplifying
k = 22.66666667

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