0.009(8-k)+0.09(k-7)=1

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Solution for 0.009(8-k)+0.09(k-7)=1 equation: 


Simplifying
0.009(8 + -1k) + 0.09(k + -7) = 1
(8 * 0.009 + -1k * 0.009) + 0.09(k + -7) = 1
(0.072 + -0.009k) + 0.09(k + -7) = 1

Reorder the terms:
0.072 + -0.009k + 0.09(-7 + k) = 1
0.072 + -0.009k + (-7 * 0.09 + k * 0.09) = 1
0.072 + -0.009k + (-0.63 + 0.09k) = 1

Reorder the terms:
0.072 + -0.63 + -0.009k + 0.09k = 1

Combine like terms: 0.072 + -0.63 = -0.558
-0.558 + -0.009k + 0.09k = 1

Combine like terms: -0.009k + 0.09k = 0.081k
-0.558 + 0.081k = 1

Solving
-0.558 + 0.081k = 1

Solving for variable 'k'.

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

Add '0.558' to each side of the equation.
-0.558 + 0.558 + 0.081k = 1 + 0.558

Combine like terms: -0.558 + 0.558 = 0.000
0.000 + 0.081k = 1 + 0.558
0.081k = 1 + 0.558

Combine like terms: 1 + 0.558 = 1.558
0.081k = 1.558

Divide each side by '0.081'.
k = 19.2345679

Simplifying
k = 19.2345679

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