.008(3-k)+.09(k-2)=1

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Solution for .008(3-k)+.09(k-2)=1 equation: 


Simplifying
0.008(3 + -1k) + 0.09(k + -2) = 1
(3 * 0.008 + -1k * 0.008) + 0.09(k + -2) = 1
(0.024 + -0.008k) + 0.09(k + -2) = 1

Reorder the terms:
0.024 + -0.008k + 0.09(-2 + k) = 1
0.024 + -0.008k + (-2 * 0.09 + k * 0.09) = 1
0.024 + -0.008k + (-0.18 + 0.09k) = 1

Reorder the terms:
0.024 + -0.18 + -0.008k + 0.09k = 1

Combine like terms: 0.024 + -0.18 = -0.156
-0.156 + -0.008k + 0.09k = 1

Combine like terms: -0.008k + 0.09k = 0.082k
-0.156 + 0.082k = 1

Solving
-0.156 + 0.082k = 1

Solving for variable 'k'.

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

Add '0.156' to each side of the equation.
-0.156 + 0.156 + 0.082k = 1 + 0.156

Combine like terms: -0.156 + 0.156 = 0.000
0.000 + 0.082k = 1 + 0.156
0.082k = 1 + 0.156

Combine like terms: 1 + 0.156 = 1.156
0.082k = 1.156

Divide each side by '0.082'.
k = 14.09756098

Simplifying
k = 14.09756098

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