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Simplifying k2 + 9k + 20 = k2 + 14k + 45 Reorder the terms: 20 + 9k + k2 = k2 + 14k + 45 Reorder the terms: 20 + 9k + k2 = 45 + 14k + k2 Add '-1k2' to each side of the equation. 20 + 9k + k2 + -1k2 = 45 + 14k + k2 + -1k2 Combine like terms: k2 + -1k2 = 0 20 + 9k + 0 = 45 + 14k + k2 + -1k2 20 + 9k = 45 + 14k + k2 + -1k2 Combine like terms: k2 + -1k2 = 0 20 + 9k = 45 + 14k + 0 20 + 9k = 45 + 14k Solving 20 + 9k = 45 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 20 + 9k + -14k = 45 + 14k + -14k Combine like terms: 9k + -14k = -5k 20 + -5k = 45 + 14k + -14k Combine like terms: 14k + -14k = 0 20 + -5k = 45 + 0 20 + -5k = 45 Add '-20' to each side of the equation. 20 + -20 + -5k = 45 + -20 Combine like terms: 20 + -20 = 0 0 + -5k = 45 + -20 -5k = 45 + -20 Combine like terms: 45 + -20 = 25 -5k = 25 Divide each side by '-5'. k = -5 Simplifying k = -5
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