0.008(6-k)+0.06(k-9)=1

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Solution for 0.008(6-k)+0.06(k-9)=1 equation: 


Simplifying
0.008(6 + -1k) + 0.06(k + -9) = 1
(6 * 0.008 + -1k * 0.008) + 0.06(k + -9) = 1
(0.048 + -0.008k) + 0.06(k + -9) = 1

Reorder the terms:
0.048 + -0.008k + 0.06(-9 + k) = 1
0.048 + -0.008k + (-9 * 0.06 + k * 0.06) = 1
0.048 + -0.008k + (-0.54 + 0.06k) = 1

Reorder the terms:
0.048 + -0.54 + -0.008k + 0.06k = 1

Combine like terms: 0.048 + -0.54 = -0.492
-0.492 + -0.008k + 0.06k = 1

Combine like terms: -0.008k + 0.06k = 0.052k
-0.492 + 0.052k = 1

Solving
-0.492 + 0.052k = 1

Solving for variable 'k'.

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

Add '0.492' to each side of the equation.
-0.492 + 0.492 + 0.052k = 1 + 0.492

Combine like terms: -0.492 + 0.492 = 0.000
0.000 + 0.052k = 1 + 0.492
0.052k = 1 + 0.492

Combine like terms: 1 + 0.492 = 1.492
0.052k = 1.492

Divide each side by '0.052'.
k = 28.69230769

Simplifying
k = 28.69230769

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