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Simplifying 3k + 1 + -5 = 9k + 12 + -8k Reorder the terms: 1 + -5 + 3k = 9k + 12 + -8k Combine like terms: 1 + -5 = -4 -4 + 3k = 9k + 12 + -8k Reorder the terms: -4 + 3k = 12 + 9k + -8k Combine like terms: 9k + -8k = 1k -4 + 3k = 12 + 1k Solving -4 + 3k = 12 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -4 + 3k + -1k = 12 + 1k + -1k Combine like terms: 3k + -1k = 2k -4 + 2k = 12 + 1k + -1k Combine like terms: 1k + -1k = 0 -4 + 2k = 12 + 0 -4 + 2k = 12 Add '4' to each side of the equation. -4 + 4 + 2k = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 2k = 12 + 4 2k = 12 + 4 Combine like terms: 12 + 4 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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