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Simplifying -5k + 5 + 6k = 14 + -22 Reorder the terms: 5 + -5k + 6k = 14 + -22 Combine like terms: -5k + 6k = 1k 5 + 1k = 14 + -22 Combine like terms: 14 + -22 = -8 5 + 1k = -8 Solving 5 + 1k = -8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1k = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 1k = -8 + -5 1k = -8 + -5 Combine like terms: -8 + -5 = -13 1k = -13 Divide each side by '1'. k = -13 Simplifying k = -13
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