0.002(5-k)+0.09(k-1)=1

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Solution for 0.002(5-k)+0.09(k-1)=1 equation: 


Simplifying
0.002(5 + -1k) + 0.09(k + -1) = 1
(5 * 0.002 + -1k * 0.002) + 0.09(k + -1) = 1
(0.01 + -0.002k) + 0.09(k + -1) = 1

Reorder the terms:
0.01 + -0.002k + 0.09(-1 + k) = 1
0.01 + -0.002k + (-1 * 0.09 + k * 0.09) = 1
0.01 + -0.002k + (-0.09 + 0.09k) = 1

Reorder the terms:
0.01 + -0.09 + -0.002k + 0.09k = 1

Combine like terms: 0.01 + -0.09 = -0.08
-0.08 + -0.002k + 0.09k = 1

Combine like terms: -0.002k + 0.09k = 0.088k
-0.08 + 0.088k = 1

Solving
-0.08 + 0.088k = 1

Solving for variable 'k'.

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

Add '0.08' to each side of the equation.
-0.08 + 0.08 + 0.088k = 1 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + 0.088k = 1 + 0.08
0.088k = 1 + 0.08

Combine like terms: 1 + 0.08 = 1.08
0.088k = 1.08

Divide each side by '0.088'.
k = 12.27272727

Simplifying
k = 12.27272727

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