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Simplifying 3k + 60 = k + 40 Reorder the terms: 60 + 3k = k + 40 Reorder the terms: 60 + 3k = 40 + k Solving 60 + 3k = 40 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 60 + 3k + -1k = 40 + k + -1k Combine like terms: 3k + -1k = 2k 60 + 2k = 40 + k + -1k Combine like terms: k + -1k = 0 60 + 2k = 40 + 0 60 + 2k = 40 Add '-60' to each side of the equation. 60 + -60 + 2k = 40 + -60 Combine like terms: 60 + -60 = 0 0 + 2k = 40 + -60 2k = 40 + -60 Combine like terms: 40 + -60 = -20 2k = -20 Divide each side by '2'. k = -10 Simplifying k = -10
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