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Simplifying 50k + 100 = 40k + 120 Reorder the terms: 100 + 50k = 40k + 120 Reorder the terms: 100 + 50k = 120 + 40k Solving 100 + 50k = 120 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 100 + 50k + -40k = 120 + 40k + -40k Combine like terms: 50k + -40k = 10k 100 + 10k = 120 + 40k + -40k Combine like terms: 40k + -40k = 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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