0.008(9-k)+0.08(k-3)=1

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Solution for 0.008(9-k)+0.08(k-3)=1 equation: 


Simplifying
0.008(9 + -1k) + 0.08(k + -3) = 1
(9 * 0.008 + -1k * 0.008) + 0.08(k + -3) = 1
(0.072 + -0.008k) + 0.08(k + -3) = 1

Reorder the terms:
0.072 + -0.008k + 0.08(-3 + k) = 1
0.072 + -0.008k + (-3 * 0.08 + k * 0.08) = 1
0.072 + -0.008k + (-0.24 + 0.08k) = 1

Reorder the terms:
0.072 + -0.24 + -0.008k + 0.08k = 1

Combine like terms: 0.072 + -0.24 = -0.168
-0.168 + -0.008k + 0.08k = 1

Combine like terms: -0.008k + 0.08k = 0.072k
-0.168 + 0.072k = 1

Solving
-0.168 + 0.072k = 1

Solving for variable 'k'.

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

Add '0.168' to each side of the equation.
-0.168 + 0.168 + 0.072k = 1 + 0.168

Combine like terms: -0.168 + 0.168 = 0.000
0.000 + 0.072k = 1 + 0.168
0.072k = 1 + 0.168

Combine like terms: 1 + 0.168 = 1.168
0.072k = 1.168

Divide each side by '0.072'.
k = 16.22222222

Simplifying
k = 16.22222222

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