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Simplifying 20 + -14k + 20 = -9k + -20 Reorder the terms: 20 + 20 + -14k = -9k + -20 Combine like terms: 20 + 20 = 40 40 + -14k = -9k + -20 Reorder the terms: 40 + -14k = -20 + -9k Solving 40 + -14k = -20 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 40 + -14k + 9k = -20 + -9k + 9k Combine like terms: -14k + 9k = -5k 40 + -5k = -20 + -9k + 9k Combine like terms: -9k + 9k = 0 40 + -5k = -20 + 0 40 + -5k = -20 Add '-40' to each side of the equation. 40 + -40 + -5k = -20 + -40 Combine like terms: 40 + -40 = 0 0 + -5k = -20 + -40 -5k = -20 + -40 Combine like terms: -20 + -40 = -60 -5k = -60 Divide each side by '-5'. k = 12 Simplifying k = 12
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