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Simplifying 9k + 20 = 4k + -25 Reorder the terms: 20 + 9k = 4k + -25 Reorder the terms: 20 + 9k = -25 + 4k Solving 20 + 9k = -25 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 20 + 9k + -4k = -25 + 4k + -4k Combine like terms: 9k + -4k = 5k 20 + 5k = -25 + 4k + -4k Combine like terms: 4k + -4k = 0 20 + 5k = -25 + 0 20 + 5k = -25 Add '-20' to each side of the equation. 20 + -20 + 5k = -25 + -20 Combine like terms: 20 + -20 = 0 0 + 5k = -25 + -20 5k = -25 + -20 Combine like terms: -25 + -20 = -45 5k = -45 Divide each side by '5'. k = -9 Simplifying k = -9
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