.003(4-k)+.09(k-1)=1

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Solution for .003(4-k)+.09(k-1)=1 equation: 


Simplifying
0.003(4 + -1k) + 0.09(k + -1) = 1
(4 * 0.003 + -1k * 0.003) + 0.09(k + -1) = 1
(0.012 + -0.003k) + 0.09(k + -1) = 1

Reorder the terms:
0.012 + -0.003k + 0.09(-1 + k) = 1
0.012 + -0.003k + (-1 * 0.09 + k * 0.09) = 1
0.012 + -0.003k + (-0.09 + 0.09k) = 1

Reorder the terms:
0.012 + -0.09 + -0.003k + 0.09k = 1

Combine like terms: 0.012 + -0.09 = -0.078
-0.078 + -0.003k + 0.09k = 1

Combine like terms: -0.003k + 0.09k = 0.087k
-0.078 + 0.087k = 1

Solving
-0.078 + 0.087k = 1

Solving for variable 'k'.

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

Add '0.078' to each side of the equation.
-0.078 + 0.078 + 0.087k = 1 + 0.078

Combine like terms: -0.078 + 0.078 = 0.000
0.000 + 0.087k = 1 + 0.078
0.087k = 1 + 0.078

Combine like terms: 1 + 0.078 = 1.078
0.087k = 1.078

Divide each side by '0.087'.
k = 12.3908046

Simplifying
k = 12.3908046

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