0.009(7-k)+0.08(k-2)=1

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Solution for 0.009(7-k)+0.08(k-2)=1 equation: 


Simplifying
0.009(7 + -1k) + 0.08(k + -2) = 1
(7 * 0.009 + -1k * 0.009) + 0.08(k + -2) = 1
(0.063 + -0.009k) + 0.08(k + -2) = 1

Reorder the terms:
0.063 + -0.009k + 0.08(-2 + k) = 1
0.063 + -0.009k + (-2 * 0.08 + k * 0.08) = 1
0.063 + -0.009k + (-0.16 + 0.08k) = 1

Reorder the terms:
0.063 + -0.16 + -0.009k + 0.08k = 1

Combine like terms: 0.063 + -0.16 = -0.097
-0.097 + -0.009k + 0.08k = 1

Combine like terms: -0.009k + 0.08k = 0.071k
-0.097 + 0.071k = 1

Solving
-0.097 + 0.071k = 1

Solving for variable 'k'.

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

Add '0.097' to each side of the equation.
-0.097 + 0.097 + 0.071k = 1 + 0.097

Combine like terms: -0.097 + 0.097 = 0.000
0.000 + 0.071k = 1 + 0.097
0.071k = 1 + 0.097

Combine like terms: 1 + 0.097 = 1.097
0.071k = 1.097

Divide each side by '0.071'.
k = 15.45070423

Simplifying
k = 15.45070423

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