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Simplifying 30k + 90 = 20k + 120 Reorder the terms: 90 + 30k = 20k + 120 Reorder the terms: 90 + 30k = 120 + 20k Solving 90 + 30k = 120 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 90 + 30k + -20k = 120 + 20k + -20k Combine like terms: 30k + -20k = 10k 90 + 10k = 120 + 20k + -20k Combine like terms: 20k + -20k = 0 90 + 10k = 120 + 0 90 + 10k = 120 Add '-90' to each side of the equation. 90 + -90 + 10k = 120 + -90 Combine like terms: 90 + -90 = 0 0 + 10k = 120 + -90 10k = 120 + -90 Combine like terms: 120 + -90 = 30 10k = 30 Divide each side by '10'. k = 3 Simplifying k = 3
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