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Simplifying 20 + -1k + 2k = -9k + -5(-6k + 20) Combine like terms: -1k + 2k = 1k 20 + 1k = -9k + -5(-6k + 20) Reorder the terms: 20 + 1k = -9k + -5(20 + -6k) 20 + 1k = -9k + (20 * -5 + -6k * -5) 20 + 1k = -9k + (-100 + 30k) Reorder the terms: 20 + 1k = -100 + -9k + 30k Combine like terms: -9k + 30k = 21k 20 + 1k = -100 + 21k Solving 20 + 1k = -100 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 20 + 1k + -21k = -100 + 21k + -21k Combine like terms: 1k + -21k = -20k 20 + -20k = -100 + 21k + -21k Combine like terms: 21k + -21k = 0 20 + -20k = -100 + 0 20 + -20k = -100 Add '-20' to each side of the equation. 20 + -20 + -20k = -100 + -20 Combine like terms: 20 + -20 = 0 0 + -20k = -100 + -20 -20k = -100 + -20 Combine like terms: -100 + -20 = -120 -20k = -120 Divide each side by '-20'. k = 6 Simplifying k = 6
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