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Simplifying 8 + 5k = 3k + -6 Reorder the terms: 8 + 5k = -6 + 3k Solving 8 + 5k = -6 + 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 + 5k + -3k = -6 + 3k + -3k Combine like terms: 5k + -3k = 2k 8 + 2k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 8 + 2k = -6 + 0 8 + 2k = -6 Add '-8' to each side of the equation. 8 + -8 + 2k = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2k = -6 + -8 2k = -6 + -8 Combine like terms: -6 + -8 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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