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Simplifying 30k + 10 = 20k + 120 Reorder the terms: 10 + 30k = 20k + 120 Reorder the terms: 10 + 30k = 120 + 20k Solving 10 + 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. 10 + 30k + -20k = 120 + 20k + -20k Combine like terms: 30k + -20k = 10k 10 + 10k = 120 + 20k + -20k Combine like terms: 20k + -20k = 0 10 + 10k = 120 + 0 10 + 10k = 120 Add '-10' to each side of the equation. 10 + -10 + 10k = 120 + -10 Combine like terms: 10 + -10 = 0 0 + 10k = 120 + -10 10k = 120 + -10 Combine like terms: 120 + -10 = 110 10k = 110 Divide each side by '10'. k = 11 Simplifying k = 11
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