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Simplifying 40k + 60 = 30k + 100 Reorder the terms: 60 + 40k = 30k + 100 Reorder the terms: 60 + 40k = 100 + 30k Solving 60 + 40k = 100 + 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. 60 + 40k + -30k = 100 + 30k + -30k Combine like terms: 40k + -30k = 10k 60 + 10k = 100 + 30k + -30k Combine like terms: 30k + -30k = 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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