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Simplifying 50k + 90 = 40k + 100 Reorder the terms: 90 + 50k = 40k + 100 Reorder the terms: 90 + 50k = 100 + 40k Solving 90 + 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. 90 + 50k + -40k = 100 + 40k + -40k Combine like terms: 50k + -40k = 10k 90 + 10k = 100 + 40k + -40k Combine like terms: 40k + -40k = 0 90 + 10k = 100 + 0 90 + 10k = 100 Add '-90' to each side of the equation. 90 + -90 + 10k = 100 + -90 Combine like terms: 90 + -90 = 0 0 + 10k = 100 + -90 10k = 100 + -90 Combine like terms: 100 + -90 = 10 10k = 10 Divide each side by '10'. k = 1 Simplifying k = 1
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