0.003(9-k)+0.09(k-7)=1

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Solution for 0.003(9-k)+0.09(k-7)=1 equation: 


Simplifying
0.003(9 + -1k) + 0.09(k + -7) = 1
(9 * 0.003 + -1k * 0.003) + 0.09(k + -7) = 1
(0.027 + -0.003k) + 0.09(k + -7) = 1

Reorder the terms:
0.027 + -0.003k + 0.09(-7 + k) = 1
0.027 + -0.003k + (-7 * 0.09 + k * 0.09) = 1
0.027 + -0.003k + (-0.63 + 0.09k) = 1

Reorder the terms:
0.027 + -0.63 + -0.003k + 0.09k = 1

Combine like terms: 0.027 + -0.63 = -0.603
-0.603 + -0.003k + 0.09k = 1

Combine like terms: -0.003k + 0.09k = 0.087k
-0.603 + 0.087k = 1

Solving
-0.603 + 0.087k = 1

Solving for variable 'k'.

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

Add '0.603' to each side of the equation.
-0.603 + 0.603 + 0.087k = 1 + 0.603

Combine like terms: -0.603 + 0.603 = 0.000
0.000 + 0.087k = 1 + 0.603
0.087k = 1 + 0.603

Combine like terms: 1 + 0.603 = 1.603
0.087k = 1.603

Divide each side by '0.087'.
k = 18.42528736

Simplifying
k = 18.42528736

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