0.002(3-k)+0.04(k-1)=1

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Solution for 0.002(3-k)+0.04(k-1)=1 equation: 


Simplifying
0.002(3 + -1k) + 0.04(k + -1) = 1
(3 * 0.002 + -1k * 0.002) + 0.04(k + -1) = 1
(0.006 + -0.002k) + 0.04(k + -1) = 1

Reorder the terms:
0.006 + -0.002k + 0.04(-1 + k) = 1
0.006 + -0.002k + (-1 * 0.04 + k * 0.04) = 1
0.006 + -0.002k + (-0.04 + 0.04k) = 1

Reorder the terms:
0.006 + -0.04 + -0.002k + 0.04k = 1

Combine like terms: 0.006 + -0.04 = -0.034
-0.034 + -0.002k + 0.04k = 1

Combine like terms: -0.002k + 0.04k = 0.038k
-0.034 + 0.038k = 1

Solving
-0.034 + 0.038k = 1

Solving for variable 'k'.

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

Add '0.034' to each side of the equation.
-0.034 + 0.034 + 0.038k = 1 + 0.034

Combine like terms: -0.034 + 0.034 = 0.000
0.000 + 0.038k = 1 + 0.034
0.038k = 1 + 0.034

Combine like terms: 1 + 0.034 = 1.034
0.038k = 1.034

Divide each side by '0.038'.
k = 27.21052632

Simplifying
k = 27.21052632

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