.002(2-k)+.03(k-3)=1

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Solution for .002(2-k)+.03(k-3)=1 equation: 


Simplifying
0.002(2 + -1k) + 0.03(k + -3) = 1
(2 * 0.002 + -1k * 0.002) + 0.03(k + -3) = 1
(0.004 + -0.002k) + 0.03(k + -3) = 1

Reorder the terms:
0.004 + -0.002k + 0.03(-3 + k) = 1
0.004 + -0.002k + (-3 * 0.03 + k * 0.03) = 1
0.004 + -0.002k + (-0.09 + 0.03k) = 1

Reorder the terms:
0.004 + -0.09 + -0.002k + 0.03k = 1

Combine like terms: 0.004 + -0.09 = -0.086
-0.086 + -0.002k + 0.03k = 1

Combine like terms: -0.002k + 0.03k = 0.028k
-0.086 + 0.028k = 1

Solving
-0.086 + 0.028k = 1

Solving for variable 'k'.

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

Add '0.086' to each side of the equation.
-0.086 + 0.086 + 0.028k = 1 + 0.086

Combine like terms: -0.086 + 0.086 = 0.000
0.000 + 0.028k = 1 + 0.086
0.028k = 1 + 0.086

Combine like terms: 1 + 0.086 = 1.086
0.028k = 1.086

Divide each side by '0.028'.
k = 38.78571429

Simplifying
k = 38.78571429

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