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Simplifying -1k + 20 = 3(3k + -20) Reorder the terms: 20 + -1k = 3(3k + -20) Reorder the terms: 20 + -1k = 3(-20 + 3k) 20 + -1k = (-20 * 3 + 3k * 3) 20 + -1k = (-60 + 9k) Solving 20 + -1k = -60 + 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. 20 + -1k + -9k = -60 + 9k + -9k Combine like terms: -1k + -9k = -10k 20 + -10k = -60 + 9k + -9k Combine like terms: 9k + -9k = 0 20 + -10k = -60 + 0 20 + -10k = -60 Add '-20' to each side of the equation. 20 + -20 + -10k = -60 + -20 Combine like terms: 20 + -20 = 0 0 + -10k = -60 + -20 -10k = -60 + -20 Combine like terms: -60 + -20 = -80 -10k = -80 Divide each side by '-10'. k = 8 Simplifying k = 8
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