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Simplifying 180 = 3k + 50 + 2k + 10 Reorder the terms: 180 = 50 + 10 + 3k + 2k Combine like terms: 50 + 10 = 60 180 = 60 + 3k + 2k Combine like terms: 3k + 2k = 5k 180 = 60 + 5k Solving 180 = 60 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 180 + -5k = 60 + 5k + -5k Combine like terms: 5k + -5k = 0 180 + -5k = 60 + 0 180 + -5k = 60 Add '-180' to each side of the equation. 180 + -180 + -5k = 60 + -180 Combine like terms: 180 + -180 = 0 0 + -5k = 60 + -180 -5k = 60 + -180 Combine like terms: 60 + -180 = -120 -5k = -120 Divide each side by '-5'. k = 24 Simplifying k = 24
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