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Simplifying -5(6k + 9) = -27 + 7k Reorder the terms: -5(9 + 6k) = -27 + 7k (9 * -5 + 6k * -5) = -27 + 7k (-45 + -30k) = -27 + 7k Solving -45 + -30k = -27 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -45 + -30k + -7k = -27 + 7k + -7k Combine like terms: -30k + -7k = -37k -45 + -37k = -27 + 7k + -7k Combine like terms: 7k + -7k = 0 -45 + -37k = -27 + 0 -45 + -37k = -27 Add '45' to each side of the equation. -45 + 45 + -37k = -27 + 45 Combine like terms: -45 + 45 = 0 0 + -37k = -27 + 45 -37k = -27 + 45 Combine like terms: -27 + 45 = 18 -37k = 18 Divide each side by '-37'. k = -0.4864864865 Simplifying k = -0.4864864865
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