.002(2-k)+.05(k-2)=1

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Solution for .002(2-k)+.05(k-2)=1 equation: 


Simplifying
0.002(2 + -1k) + 0.05(k + -2) = 1
(2 * 0.002 + -1k * 0.002) + 0.05(k + -2) = 1
(0.004 + -0.002k) + 0.05(k + -2) = 1

Reorder the terms:
0.004 + -0.002k + 0.05(-2 + k) = 1
0.004 + -0.002k + (-2 * 0.05 + k * 0.05) = 1
0.004 + -0.002k + (-0.1 + 0.05k) = 1

Reorder the terms:
0.004 + -0.1 + -0.002k + 0.05k = 1

Combine like terms: 0.004 + -0.1 = -0.096
-0.096 + -0.002k + 0.05k = 1

Combine like terms: -0.002k + 0.05k = 0.048k
-0.096 + 0.048k = 1

Solving
-0.096 + 0.048k = 1

Solving for variable 'k'.

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

Add '0.096' to each side of the equation.
-0.096 + 0.096 + 0.048k = 1 + 0.096

Combine like terms: -0.096 + 0.096 = 0.000
0.000 + 0.048k = 1 + 0.096
0.048k = 1 + 0.096

Combine like terms: 1 + 0.096 = 1.096
0.048k = 1.096

Divide each side by '0.048'.
k = 22.83333333

Simplifying
k = 22.83333333

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