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Simplifying 20k + 80 = 30k + 90 Reorder the terms: 80 + 20k = 30k + 90 Reorder the terms: 80 + 20k = 90 + 30k Solving 80 + 20k = 90 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 80 + 20k + -30k = 90 + 30k + -30k Combine like terms: 20k + -30k = -10k 80 + -10k = 90 + 30k + -30k Combine like terms: 30k + -30k = 0 80 + -10k = 90 + 0 80 + -10k = 90 Add '-80' to each side of the equation. 80 + -80 + -10k = 90 + -80 Combine like terms: 80 + -80 = 0 0 + -10k = 90 + -80 -10k = 90 + -80 Combine like terms: 90 + -80 = 10 -10k = 10 Divide each side by '-10'. k = -1 Simplifying k = -1
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