0.006(6-k)+0.05(k-8)=1

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Solution for 0.006(6-k)+0.05(k-8)=1 equation: 


Simplifying
0.006(6 + -1k) + 0.05(k + -8) = 1
(6 * 0.006 + -1k * 0.006) + 0.05(k + -8) = 1
(0.036 + -0.006k) + 0.05(k + -8) = 1

Reorder the terms:
0.036 + -0.006k + 0.05(-8 + k) = 1
0.036 + -0.006k + (-8 * 0.05 + k * 0.05) = 1
0.036 + -0.006k + (-0.4 + 0.05k) = 1

Reorder the terms:
0.036 + -0.4 + -0.006k + 0.05k = 1

Combine like terms: 0.036 + -0.4 = -0.364
-0.364 + -0.006k + 0.05k = 1

Combine like terms: -0.006k + 0.05k = 0.044k
-0.364 + 0.044k = 1

Solving
-0.364 + 0.044k = 1

Solving for variable 'k'.

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

Add '0.364' to each side of the equation.
-0.364 + 0.364 + 0.044k = 1 + 0.364

Combine like terms: -0.364 + 0.364 = 0.000
0.000 + 0.044k = 1 + 0.364
0.044k = 1 + 0.364

Combine like terms: 1 + 0.364 = 1.364
0.044k = 1.364

Divide each side by '0.044'.
k = 31

Simplifying
k = 31

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