0.009(4-k)+0.06(k-9)=1

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Solution for 0.009(4-k)+0.06(k-9)=1 equation: 


Simplifying
0.009(4 + -1k) + 0.06(k + -9) = 1
(4 * 0.009 + -1k * 0.009) + 0.06(k + -9) = 1
(0.036 + -0.009k) + 0.06(k + -9) = 1

Reorder the terms:
0.036 + -0.009k + 0.06(-9 + k) = 1
0.036 + -0.009k + (-9 * 0.06 + k * 0.06) = 1
0.036 + -0.009k + (-0.54 + 0.06k) = 1

Reorder the terms:
0.036 + -0.54 + -0.009k + 0.06k = 1

Combine like terms: 0.036 + -0.54 = -0.504
-0.504 + -0.009k + 0.06k = 1

Combine like terms: -0.009k + 0.06k = 0.051k
-0.504 + 0.051k = 1

Solving
-0.504 + 0.051k = 1

Solving for variable 'k'.

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

Add '0.504' to each side of the equation.
-0.504 + 0.504 + 0.051k = 1 + 0.504

Combine like terms: -0.504 + 0.504 = 0.000
0.000 + 0.051k = 1 + 0.504
0.051k = 1 + 0.504

Combine like terms: 1 + 0.504 = 1.504
0.051k = 1.504

Divide each side by '0.051'.
k = 29.49019608

Simplifying
k = 29.49019608

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