0.008(1-k)+0.06(k-6)=1

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Solution for 0.008(1-k)+0.06(k-6)=1 equation: 


Simplifying
0.008(1 + -1k) + 0.06(k + -6) = 1
(1 * 0.008 + -1k * 0.008) + 0.06(k + -6) = 1
(0.008 + -0.008k) + 0.06(k + -6) = 1

Reorder the terms:
0.008 + -0.008k + 0.06(-6 + k) = 1
0.008 + -0.008k + (-6 * 0.06 + k * 0.06) = 1
0.008 + -0.008k + (-0.36 + 0.06k) = 1

Reorder the terms:
0.008 + -0.36 + -0.008k + 0.06k = 1

Combine like terms: 0.008 + -0.36 = -0.352
-0.352 + -0.008k + 0.06k = 1

Combine like terms: -0.008k + 0.06k = 0.052k
-0.352 + 0.052k = 1

Solving
-0.352 + 0.052k = 1

Solving for variable 'k'.

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

Add '0.352' to each side of the equation.
-0.352 + 0.352 + 0.052k = 1 + 0.352

Combine like terms: -0.352 + 0.352 = 0.000
0.000 + 0.052k = 1 + 0.352
0.052k = 1 + 0.352

Combine like terms: 1 + 0.352 = 1.352
0.052k = 1.352

Divide each side by '0.052'.
k = 26

Simplifying
k = 26

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