0.003(5-k)+0.07(k-4)=1

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Solution for 0.003(5-k)+0.07(k-4)=1 equation: 


Simplifying
0.003(5 + -1k) + 0.07(k + -4) = 1
(5 * 0.003 + -1k * 0.003) + 0.07(k + -4) = 1
(0.015 + -0.003k) + 0.07(k + -4) = 1

Reorder the terms:
0.015 + -0.003k + 0.07(-4 + k) = 1
0.015 + -0.003k + (-4 * 0.07 + k * 0.07) = 1
0.015 + -0.003k + (-0.28 + 0.07k) = 1

Reorder the terms:
0.015 + -0.28 + -0.003k + 0.07k = 1

Combine like terms: 0.015 + -0.28 = -0.265
-0.265 + -0.003k + 0.07k = 1

Combine like terms: -0.003k + 0.07k = 0.067k
-0.265 + 0.067k = 1

Solving
-0.265 + 0.067k = 1

Solving for variable 'k'.

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

Add '0.265' to each side of the equation.
-0.265 + 0.265 + 0.067k = 1 + 0.265

Combine like terms: -0.265 + 0.265 = 0.000
0.000 + 0.067k = 1 + 0.265
0.067k = 1 + 0.265

Combine like terms: 1 + 0.265 = 1.265
0.067k = 1.265

Divide each side by '0.067'.
k = 18.88059701

Simplifying
k = 18.88059701

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