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Simplifying 40k + 100 = 30k + 120 Reorder the terms: 100 + 40k = 30k + 120 Reorder the terms: 100 + 40k = 120 + 30k Solving 100 + 40k = 120 + 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. 100 + 40k + -30k = 120 + 30k + -30k Combine like terms: 40k + -30k = 10k 100 + 10k = 120 + 30k + -30k Combine like terms: 30k + -30k = 0 100 + 10k = 120 + 0 100 + 10k = 120 Add '-100' to each side of the equation. 100 + -100 + 10k = 120 + -100 Combine like terms: 100 + -100 = 0 0 + 10k = 120 + -100 10k = 120 + -100 Combine like terms: 120 + -100 = 20 10k = 20 Divide each side by '10'. k = 2 Simplifying k = 2
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