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Simplifying 0.009(9 + -1k) + 0.06(k + -8) = 1 (9 * 0.009 + -1k * 0.009) + 0.06(k + -8) = 1 (0.081 + -0.009k) + 0.06(k + -8) = 1 Reorder the terms: 0.081 + -0.009k + 0.06(-8 + k) = 1 0.081 + -0.009k + (-8 * 0.06 + k * 0.06) = 1 0.081 + -0.009k + (-0.48 + 0.06k) = 1 Reorder the terms: 0.081 + -0.48 + -0.009k + 0.06k = 1 Combine like terms: 0.081 + -0.48 = -0.399 -0.399 + -0.009k + 0.06k = 1 Combine like terms: -0.009k + 0.06k = 0.051k -0.399 + 0.051k = 1 Solving -0.399 + 0.051k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.399' to each side of the equation. -0.399 + 0.399 + 0.051k = 1 + 0.399 Combine like terms: -0.399 + 0.399 = 0.000 0.000 + 0.051k = 1 + 0.399 0.051k = 1 + 0.399 Combine like terms: 1 + 0.399 = 1.399 0.051k = 1.399 Divide each side by '0.051'. k = 27.43137255 Simplifying k = 27.43137255
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