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Simplifying -9(4k + 5) = 30 + 7k Reorder the terms: -9(5 + 4k) = 30 + 7k (5 * -9 + 4k * -9) = 30 + 7k (-45 + -36k) = 30 + 7k Solving -45 + -36k = 30 + 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 + -36k + -7k = 30 + 7k + -7k Combine like terms: -36k + -7k = -43k -45 + -43k = 30 + 7k + -7k Combine like terms: 7k + -7k = 0 -45 + -43k = 30 + 0 -45 + -43k = 30 Add '45' to each side of the equation. -45 + 45 + -43k = 30 + 45 Combine like terms: -45 + 45 = 0 0 + -43k = 30 + 45 -43k = 30 + 45 Combine like terms: 30 + 45 = 75 -43k = 75 Divide each side by '-43'. k = -1.744186047 Simplifying k = -1.744186047
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