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Simplifying 6 + 8k = 3k + -9 Reorder the terms: 6 + 8k = -9 + 3k Solving 6 + 8k = -9 + 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. 6 + 8k + -3k = -9 + 3k + -3k Combine like terms: 8k + -3k = 5k 6 + 5k = -9 + 3k + -3k Combine like terms: 3k + -3k = 0 6 + 5k = -9 + 0 6 + 5k = -9 Add '-6' to each side of the equation. 6 + -6 + 5k = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 5k = -9 + -6 5k = -9 + -6 Combine like terms: -9 + -6 = -15 5k = -15 Divide each side by '5'. k = -3 Simplifying k = -3
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