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Simplifying 30k + 60 = 20k + 100 Reorder the terms: 60 + 30k = 20k + 100 Reorder the terms: 60 + 30k = 100 + 20k Solving 60 + 30k = 100 + 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. 60 + 30k + -20k = 100 + 20k + -20k Combine like terms: 30k + -20k = 10k 60 + 10k = 100 + 20k + -20k Combine like terms: 20k + -20k = 0 60 + 10k = 100 + 0 60 + 10k = 100 Add '-60' to each side of the equation. 60 + -60 + 10k = 100 + -60 Combine like terms: 60 + -60 = 0 0 + 10k = 100 + -60 10k = 100 + -60 Combine like terms: 100 + -60 = 40 10k = 40 Divide each side by '10'. k = 4 Simplifying k = 4
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