0.005(7-k)+0.09(k-9)=1

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Solution for 0.005(7-k)+0.09(k-9)=1 equation: 


Simplifying
0.005(7 + -1k) + 0.09(k + -9) = 1
(7 * 0.005 + -1k * 0.005) + 0.09(k + -9) = 1
(0.035 + -0.005k) + 0.09(k + -9) = 1

Reorder the terms:
0.035 + -0.005k + 0.09(-9 + k) = 1
0.035 + -0.005k + (-9 * 0.09 + k * 0.09) = 1
0.035 + -0.005k + (-0.81 + 0.09k) = 1

Reorder the terms:
0.035 + -0.81 + -0.005k + 0.09k = 1

Combine like terms: 0.035 + -0.81 = -0.775
-0.775 + -0.005k + 0.09k = 1

Combine like terms: -0.005k + 0.09k = 0.085k
-0.775 + 0.085k = 1

Solving
-0.775 + 0.085k = 1

Solving for variable 'k'.

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

Add '0.775' to each side of the equation.
-0.775 + 0.775 + 0.085k = 1 + 0.775

Combine like terms: -0.775 + 0.775 = 0.000
0.000 + 0.085k = 1 + 0.775
0.085k = 1 + 0.775

Combine like terms: 1 + 0.775 = 1.775
0.085k = 1.775

Divide each side by '0.085'.
k = 20.88235294

Simplifying
k = 20.88235294

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