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Simplifying 5k + 8 = -1k + 2 Reorder the terms: 8 + 5k = -1k + 2 Reorder the terms: 8 + 5k = 2 + -1k Solving 8 + 5k = 2 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 8 + 5k + k = 2 + -1k + k Combine like terms: 5k + k = 6k 8 + 6k = 2 + -1k + k Combine like terms: -1k + k = 0 8 + 6k = 2 + 0 8 + 6k = 2 Add '-8' to each side of the equation. 8 + -8 + 6k = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 6k = 2 + -8 6k = 2 + -8 Combine like terms: 2 + -8 = -6 6k = -6 Divide each side by '6'. k = -1 Simplifying k = -1
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