0.007(1-k)+0.08(k-4)=1

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Solution for 0.007(1-k)+0.08(k-4)=1 equation: 


Simplifying
0.007(1 + -1k) + 0.08(k + -4) = 1
(1 * 0.007 + -1k * 0.007) + 0.08(k + -4) = 1
(0.007 + -0.007k) + 0.08(k + -4) = 1

Reorder the terms:
0.007 + -0.007k + 0.08(-4 + k) = 1
0.007 + -0.007k + (-4 * 0.08 + k * 0.08) = 1
0.007 + -0.007k + (-0.32 + 0.08k) = 1

Reorder the terms:
0.007 + -0.32 + -0.007k + 0.08k = 1

Combine like terms: 0.007 + -0.32 = -0.313
-0.313 + -0.007k + 0.08k = 1

Combine like terms: -0.007k + 0.08k = 0.073k
-0.313 + 0.073k = 1

Solving
-0.313 + 0.073k = 1

Solving for variable 'k'.

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

Add '0.313' to each side of the equation.
-0.313 + 0.313 + 0.073k = 1 + 0.313

Combine like terms: -0.313 + 0.313 = 0.000
0.000 + 0.073k = 1 + 0.313
0.073k = 1 + 0.313

Combine like terms: 1 + 0.313 = 1.313
0.073k = 1.313

Divide each side by '0.073'.
k = 17.98630137

Simplifying
k = 17.98630137

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