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Simplifying 25 + 3k = -9[4k + 5] Reorder the terms: 25 + 3k = -9[5 + 4k] 25 + 3k = [5 * -9 + 4k * -9] 25 + 3k = [-45 + -36k] Solving 25 + 3k = -45 + -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. 25 + 3k + 36k = -45 + -36k + 36k Combine like terms: 3k + 36k = 39k 25 + 39k = -45 + -36k + 36k Combine like terms: -36k + 36k = 0 25 + 39k = -45 + 0 25 + 39k = -45 Add '-25' to each side of the equation. 25 + -25 + 39k = -45 + -25 Combine like terms: 25 + -25 = 0 0 + 39k = -45 + -25 39k = -45 + -25 Combine like terms: -45 + -25 = -70 39k = -70 Divide each side by '39'. k = -1.794871795 Simplifying k = -1.794871795
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