0.009(4-k)+0.08(k-3)=1

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Solution for 0.009(4-k)+0.08(k-3)=1 equation: 


Simplifying
0.009(4 + -1k) + 0.08(k + -3) = 1
(4 * 0.009 + -1k * 0.009) + 0.08(k + -3) = 1
(0.036 + -0.009k) + 0.08(k + -3) = 1

Reorder the terms:
0.036 + -0.009k + 0.08(-3 + k) = 1
0.036 + -0.009k + (-3 * 0.08 + k * 0.08) = 1
0.036 + -0.009k + (-0.24 + 0.08k) = 1

Reorder the terms:
0.036 + -0.24 + -0.009k + 0.08k = 1

Combine like terms: 0.036 + -0.24 = -0.204
-0.204 + -0.009k + 0.08k = 1

Combine like terms: -0.009k + 0.08k = 0.071k
-0.204 + 0.071k = 1

Solving
-0.204 + 0.071k = 1

Solving for variable 'k'.

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

Add '0.204' to each side of the equation.
-0.204 + 0.204 + 0.071k = 1 + 0.204

Combine like terms: -0.204 + 0.204 = 0.000
0.000 + 0.071k = 1 + 0.204
0.071k = 1 + 0.204

Combine like terms: 1 + 0.204 = 1.204
0.071k = 1.204

Divide each side by '0.071'.
k = 16.95774648

Simplifying
k = 16.95774648

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