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Simplifying 6k + -5 + 8 + 2 = 3k + -1 Reorder the terms: -5 + 8 + 2 + 6k = 3k + -1 Combine like terms: -5 + 8 = 3 3 + 2 + 6k = 3k + -1 Combine like terms: 3 + 2 = 5 5 + 6k = 3k + -1 Reorder the terms: 5 + 6k = -1 + 3k Solving 5 + 6k = -1 + 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. 5 + 6k + -3k = -1 + 3k + -3k Combine like terms: 6k + -3k = 3k 5 + 3k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + 3k = -1 + 0 5 + 3k = -1 Add '-5' to each side of the equation. 5 + -5 + 3k = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = -1 + -5 3k = -1 + -5 Combine like terms: -1 + -5 = -6 3k = -6 Divide each side by '3'. k = -2 Simplifying k = -2
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