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Simplifying -5(3 + -9k) = -27 (3 * -5 + -9k * -5) = -27 (-15 + 45k) = -27 Solving -15 + 45k = -27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 45k = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 45k = -27 + 15 45k = -27 + 15 Combine like terms: -27 + 15 = -12 45k = -12 Divide each side by '45'. k = -0.2666666667 Simplifying k = -0.2666666667
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