0.009(5k)+0.05(k-9)=1

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Solution for 0.009(5k)+0.05(k-9)=1 equation:


Simplifying
0.009(5k) + 0.05(k + -9) = 1

Remove parenthesis around (5k)
0.009 * 5k + 0.05(k + -9) = 1

Multiply 0.009 * 5
0.045k + 0.05(k + -9) = 1

Reorder the terms:
0.045k + 0.05(-9 + k) = 1
0.045k + (-9 * 0.05 + k * 0.05) = 1
0.045k + (-0.45 + 0.05k) = 1

Reorder the terms:
-0.45 + 0.045k + 0.05k = 1

Combine like terms: 0.045k + 0.05k = 0.095k
-0.45 + 0.095k = 1

Solving
-0.45 + 0.095k = 1

Solving for variable 'k'.

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

Add '0.45' to each side of the equation.
-0.45 + 0.45 + 0.095k = 1 + 0.45

Combine like terms: -0.45 + 0.45 = 0.00
0.00 + 0.095k = 1 + 0.45
0.095k = 1 + 0.45

Combine like terms: 1 + 0.45 = 1.45
0.095k = 1.45

Divide each side by '0.095'.
k = 15.26315789

Simplifying
k = 15.26315789

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