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Simplifying -4(9k + 9) + 5k = 0 Reorder the terms: -4(9 + 9k) + 5k = 0 (9 * -4 + 9k * -4) + 5k = 0 (-36 + -36k) + 5k = 0 Combine like terms: -36k + 5k = -31k -36 + -31k = 0 Solving -36 + -31k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -31k = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -31k = 0 + 36 -31k = 0 + 36 Combine like terms: 0 + 36 = 36 -31k = 36 Divide each side by '-31'. k = -1.161290323 Simplifying k = -1.161290323
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