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Simplifying 50k + 80 = 40k + 100 Reorder the terms: 80 + 50k = 40k + 100 Reorder the terms: 80 + 50k = 100 + 40k Solving 80 + 50k = 100 + 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. 80 + 50k + -40k = 100 + 40k + -40k Combine like terms: 50k + -40k = 10k 80 + 10k = 100 + 40k + -40k Combine like terms: 40k + -40k = 0 80 + 10k = 100 + 0 80 + 10k = 100 Add '-80' to each side of the equation. 80 + -80 + 10k = 100 + -80 Combine like terms: 80 + -80 = 0 0 + 10k = 100 + -80 10k = 100 + -80 Combine like terms: 100 + -80 = 20 10k = 20 Divide each side by '10'. k = 2 Simplifying k = 2
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