0.006(5-k)+0.06(k-9)=1

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Solution for 0.006(5-k)+0.06(k-9)=1 equation: 


Simplifying
0.006(5 + -1k) + 0.06(k + -9) = 1
(5 * 0.006 + -1k * 0.006) + 0.06(k + -9) = 1
(0.03 + -0.006k) + 0.06(k + -9) = 1

Reorder the terms:
0.03 + -0.006k + 0.06(-9 + k) = 1
0.03 + -0.006k + (-9 * 0.06 + k * 0.06) = 1
0.03 + -0.006k + (-0.54 + 0.06k) = 1

Reorder the terms:
0.03 + -0.54 + -0.006k + 0.06k = 1

Combine like terms: 0.03 + -0.54 = -0.51
-0.51 + -0.006k + 0.06k = 1

Combine like terms: -0.006k + 0.06k = 0.054k
-0.51 + 0.054k = 1

Solving
-0.51 + 0.054k = 1

Solving for variable 'k'.

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

Add '0.51' to each side of the equation.
-0.51 + 0.51 + 0.054k = 1 + 0.51

Combine like terms: -0.51 + 0.51 = 0.00
0.00 + 0.054k = 1 + 0.51
0.054k = 1 + 0.51

Combine like terms: 1 + 0.51 = 1.51
0.054k = 1.51

Divide each side by '0.054'.
k = 27.96296296

Simplifying
k = 27.96296296

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