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Simplifying 50k + 180 = 40k + 120 Reorder the terms: 180 + 50k = 40k + 120 Reorder the terms: 180 + 50k = 120 + 40k Solving 180 + 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. 180 + 50k + -40k = 120 + 40k + -40k Combine like terms: 50k + -40k = 10k 180 + 10k = 120 + 40k + -40k Combine like terms: 40k + -40k = 0 180 + 10k = 120 + 0 180 + 10k = 120 Add '-180' to each side of the equation. 180 + -180 + 10k = 120 + -180 Combine like terms: 180 + -180 = 0 0 + 10k = 120 + -180 10k = 120 + -180 Combine like terms: 120 + -180 = -60 10k = -60 Divide each side by '10'. k = -6 Simplifying k = -6
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