0.009(8-k)+0.07(k-2)=1

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Solution for 0.009(8-k)+0.07(k-2)=1 equation: 


Simplifying
0.009(8 + -1k) + 0.07(k + -2) = 1
(8 * 0.009 + -1k * 0.009) + 0.07(k + -2) = 1
(0.072 + -0.009k) + 0.07(k + -2) = 1

Reorder the terms:
0.072 + -0.009k + 0.07(-2 + k) = 1
0.072 + -0.009k + (-2 * 0.07 + k * 0.07) = 1
0.072 + -0.009k + (-0.14 + 0.07k) = 1

Reorder the terms:
0.072 + -0.14 + -0.009k + 0.07k = 1

Combine like terms: 0.072 + -0.14 = -0.068
-0.068 + -0.009k + 0.07k = 1

Combine like terms: -0.009k + 0.07k = 0.061k
-0.068 + 0.061k = 1

Solving
-0.068 + 0.061k = 1

Solving for variable 'k'.

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

Add '0.068' to each side of the equation.
-0.068 + 0.068 + 0.061k = 1 + 0.068

Combine like terms: -0.068 + 0.068 = 0.000
0.000 + 0.061k = 1 + 0.068
0.061k = 1 + 0.068

Combine like terms: 1 + 0.068 = 1.068
0.061k = 1.068

Divide each side by '0.061'.
k = 17.50819672

Simplifying
k = 17.50819672

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