.006(5-k)+.05(k-9)=1

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Solution for .006(5-k)+.05(k-9)=1 equation: 


Simplifying
0.006(5 + -1k) + 0.05(k + -9) = 1
(5 * 0.006 + -1k * 0.006) + 0.05(k + -9) = 1
(0.03 + -0.006k) + 0.05(k + -9) = 1

Reorder the terms:
0.03 + -0.006k + 0.05(-9 + k) = 1
0.03 + -0.006k + (-9 * 0.05 + k * 0.05) = 1
0.03 + -0.006k + (-0.45 + 0.05k) = 1

Reorder the terms:
0.03 + -0.45 + -0.006k + 0.05k = 1

Combine like terms: 0.03 + -0.45 = -0.42
-0.42 + -0.006k + 0.05k = 1

Combine like terms: -0.006k + 0.05k = 0.044k
-0.42 + 0.044k = 1

Solving
-0.42 + 0.044k = 1

Solving for variable 'k'.

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

Add '0.42' to each side of the equation.
-0.42 + 0.42 + 0.044k = 1 + 0.42

Combine like terms: -0.42 + 0.42 = 0.00
0.00 + 0.044k = 1 + 0.42
0.044k = 1 + 0.42

Combine like terms: 1 + 0.42 = 1.42
0.044k = 1.42

Divide each side by '0.044'.
k = 32.27272727

Simplifying
k = 32.27272727

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