0.002(3-k)+0.05(k-9)=1

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Solution for 0.002(3-k)+0.05(k-9)=1 equation: 


Simplifying
0.002(3 + -1k) + 0.05(k + -9) = 1
(3 * 0.002 + -1k * 0.002) + 0.05(k + -9) = 1
(0.006 + -0.002k) + 0.05(k + -9) = 1

Reorder the terms:
0.006 + -0.002k + 0.05(-9 + k) = 1
0.006 + -0.002k + (-9 * 0.05 + k * 0.05) = 1
0.006 + -0.002k + (-0.45 + 0.05k) = 1

Reorder the terms:
0.006 + -0.45 + -0.002k + 0.05k = 1

Combine like terms: 0.006 + -0.45 = -0.444
-0.444 + -0.002k + 0.05k = 1

Combine like terms: -0.002k + 0.05k = 0.048k
-0.444 + 0.048k = 1

Solving
-0.444 + 0.048k = 1

Solving for variable 'k'.

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

Add '0.444' to each side of the equation.
-0.444 + 0.444 + 0.048k = 1 + 0.444

Combine like terms: -0.444 + 0.444 = 0.000
0.000 + 0.048k = 1 + 0.444
0.048k = 1 + 0.444

Combine like terms: 1 + 0.444 = 1.444
0.048k = 1.444

Divide each side by '0.048'.
k = 30.08333333

Simplifying
k = 30.08333333

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