0.005(8-k)+0.09(k-6)=1

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Solution for 0.005(8-k)+0.09(k-6)=1 equation:


Simplifying
0.005(8 + -1k) + 0.09(k + -6) = 1
(8 * 0.005 + -1k * 0.005) + 0.09(k + -6) = 1
(0.04 + -0.005k) + 0.09(k + -6) = 1

Reorder the terms:
0.04 + -0.005k + 0.09(-6 + k) = 1
0.04 + -0.005k + (-6 * 0.09 + k * 0.09) = 1
0.04 + -0.005k + (-0.54 + 0.09k) = 1

Reorder the terms:
0.04 + -0.54 + -0.005k + 0.09k = 1

Combine like terms: 0.04 + -0.54 = -0.5
-0.5 + -0.005k + 0.09k = 1

Combine like terms: -0.005k + 0.09k = 0.085k
-0.5 + 0.085k = 1

Solving
-0.5 + 0.085k = 1

Solving for variable 'k'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.085k = 1 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.085k = 1 + 0.5
0.085k = 1 + 0.5

Combine like terms: 1 + 0.5 = 1.5
0.085k = 1.5

Divide each side by '0.085'.
k = 17.64705882

Simplifying
k = 17.64705882

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