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Simplifying 30k + 100 = 20k + 130 Reorder the terms: 100 + 30k = 20k + 130 Reorder the terms: 100 + 30k = 130 + 20k Solving 100 + 30k = 130 + 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. 100 + 30k + -20k = 130 + 20k + -20k Combine like terms: 30k + -20k = 10k 100 + 10k = 130 + 20k + -20k Combine like terms: 20k + -20k = 0 100 + 10k = 130 + 0 100 + 10k = 130 Add '-100' to each side of the equation. 100 + -100 + 10k = 130 + -100 Combine like terms: 100 + -100 = 0 0 + 10k = 130 + -100 10k = 130 + -100 Combine like terms: 130 + -100 = 30 10k = 30 Divide each side by '10'. k = 3 Simplifying k = 3
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