0.003(1-k)+0.04(k-3)=1

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Solution for 0.003(1-k)+0.04(k-3)=1 equation: 


Simplifying
0.003(1 + -1k) + 0.04(k + -3) = 1
(1 * 0.003 + -1k * 0.003) + 0.04(k + -3) = 1
(0.003 + -0.003k) + 0.04(k + -3) = 1

Reorder the terms:
0.003 + -0.003k + 0.04(-3 + k) = 1
0.003 + -0.003k + (-3 * 0.04 + k * 0.04) = 1
0.003 + -0.003k + (-0.12 + 0.04k) = 1

Reorder the terms:
0.003 + -0.12 + -0.003k + 0.04k = 1

Combine like terms: 0.003 + -0.12 = -0.117
-0.117 + -0.003k + 0.04k = 1

Combine like terms: -0.003k + 0.04k = 0.037k
-0.117 + 0.037k = 1

Solving
-0.117 + 0.037k = 1

Solving for variable 'k'.

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

Add '0.117' to each side of the equation.
-0.117 + 0.117 + 0.037k = 1 + 0.117

Combine like terms: -0.117 + 0.117 = 0.000
0.000 + 0.037k = 1 + 0.117
0.037k = 1 + 0.117

Combine like terms: 1 + 0.117 = 1.117
0.037k = 1.117

Divide each side by '0.037'.
k = 30.18918919

Simplifying
k = 30.18918919

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