0.004(2-k)+0.09(k-7)=1

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Solution for 0.004(2-k)+0.09(k-7)=1 equation: 


Simplifying
0.004(2 + -1k) + 0.09(k + -7) = 1
(2 * 0.004 + -1k * 0.004) + 0.09(k + -7) = 1
(0.008 + -0.004k) + 0.09(k + -7) = 1

Reorder the terms:
0.008 + -0.004k + 0.09(-7 + k) = 1
0.008 + -0.004k + (-7 * 0.09 + k * 0.09) = 1
0.008 + -0.004k + (-0.63 + 0.09k) = 1

Reorder the terms:
0.008 + -0.63 + -0.004k + 0.09k = 1

Combine like terms: 0.008 + -0.63 = -0.622
-0.622 + -0.004k + 0.09k = 1

Combine like terms: -0.004k + 0.09k = 0.086k
-0.622 + 0.086k = 1

Solving
-0.622 + 0.086k = 1

Solving for variable 'k'.

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

Add '0.622' to each side of the equation.
-0.622 + 0.622 + 0.086k = 1 + 0.622

Combine like terms: -0.622 + 0.622 = 0.000
0.000 + 0.086k = 1 + 0.622
0.086k = 1 + 0.622

Combine like terms: 1 + 0.622 = 1.622
0.086k = 1.622

Divide each side by '0.086'.
k = 18.86046512

Simplifying
k = 18.86046512

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