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Simplifying 3k + 4 = k + 13 Reorder the terms: 4 + 3k = k + 13 Reorder the terms: 4 + 3k = 13 + k Solving 4 + 3k = 13 + 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. 4 + 3k + -1k = 13 + k + -1k Combine like terms: 3k + -1k = 2k 4 + 2k = 13 + k + -1k Combine like terms: k + -1k = 0 4 + 2k = 13 + 0 4 + 2k = 13 Add '-4' to each side of the equation. 4 + -4 + 2k = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 13 + -4 2k = 13 + -4 Combine like terms: 13 + -4 = 9 2k = 9 Divide each side by '2'. k = 4.5 Simplifying k = 4.5
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