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Simplifying 5k + 1 = 3k + k + -13 Reorder the terms: 1 + 5k = 3k + k + -13 Reorder the terms: 1 + 5k = -13 + 3k + k Combine like terms: 3k + k = 4k 1 + 5k = -13 + 4k Solving 1 + 5k = -13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 1 + 5k + -4k = -13 + 4k + -4k Combine like terms: 5k + -4k = 1k 1 + 1k = -13 + 4k + -4k Combine like terms: 4k + -4k = 0 1 + 1k = -13 + 0 1 + 1k = -13 Add '-1' to each side of the equation. 1 + -1 + 1k = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = -13 + -1 1k = -13 + -1 Combine like terms: -13 + -1 = -14 1k = -14 Divide each side by '1'. k = -14 Simplifying k = -14
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