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Simplifying 1 + 3k = -39 + k Solving 1 + 3k = -39 + 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. 1 + 3k + -1k = -39 + k + -1k Combine like terms: 3k + -1k = 2k 1 + 2k = -39 + k + -1k Combine like terms: k + -1k = 0 1 + 2k = -39 + 0 1 + 2k = -39 Add '-1' to each side of the equation. 1 + -1 + 2k = -39 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = -39 + -1 2k = -39 + -1 Combine like terms: -39 + -1 = -40 2k = -40 Divide each side by '2'. k = -20 Simplifying k = -20
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