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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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