0.003(1-k)+0.07(k-5)=1

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Solution for 0.003(1-k)+0.07(k-5)=1 equation: 


Simplifying
0.003(1 + -1k) + 0.07(k + -5) = 1
(1 * 0.003 + -1k * 0.003) + 0.07(k + -5) = 1
(0.003 + -0.003k) + 0.07(k + -5) = 1

Reorder the terms:
0.003 + -0.003k + 0.07(-5 + k) = 1
0.003 + -0.003k + (-5 * 0.07 + k * 0.07) = 1
0.003 + -0.003k + (-0.35 + 0.07k) = 1

Reorder the terms:
0.003 + -0.35 + -0.003k + 0.07k = 1

Combine like terms: 0.003 + -0.35 = -0.347
-0.347 + -0.003k + 0.07k = 1

Combine like terms: -0.003k + 0.07k = 0.067k
-0.347 + 0.067k = 1

Solving
-0.347 + 0.067k = 1

Solving for variable 'k'.

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

Add '0.347' to each side of the equation.
-0.347 + 0.347 + 0.067k = 1 + 0.347

Combine like terms: -0.347 + 0.347 = 0.000
0.000 + 0.067k = 1 + 0.347
0.067k = 1 + 0.347

Combine like terms: 1 + 0.347 = 1.347
0.067k = 1.347

Divide each side by '0.067'.
k = 20.10447761

Simplifying
k = 20.10447761

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