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Simplifying k + 8 + k = 13 + 3k Reorder the terms: 8 + k + k = 13 + 3k Combine like terms: k + k = 2k 8 + 2k = 13 + 3k Solving 8 + 2k = 13 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 8 + 2k + -3k = 13 + 3k + -3k Combine like terms: 2k + -3k = -1k 8 + -1k = 13 + 3k + -3k Combine like terms: 3k + -3k = 0 8 + -1k = 13 + 0 8 + -1k = 13 Add '-8' to each side of the equation. 8 + -8 + -1k = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 13 + -8 -1k = 13 + -8 Combine like terms: 13 + -8 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5
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