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Simplifying 5k + 3 = k + -13 Reorder the terms: 3 + 5k = k + -13 Reorder the terms: 3 + 5k = -13 + k Solving 3 + 5k = -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. 3 + 5k + -1k = -13 + k + -1k Combine like terms: 5k + -1k = 4k 3 + 4k = -13 + k + -1k Combine like terms: k + -1k = 0 3 + 4k = -13 + 0 3 + 4k = -13 Add '-3' to each side of the equation. 3 + -3 + 4k = -13 + -3 Combine like terms: 3 + -3 = 0 0 + 4k = -13 + -3 4k = -13 + -3 Combine like terms: -13 + -3 = -16 4k = -16 Divide each side by '4'. k = -4 Simplifying k = -4
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