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Simplifying 3k + 8k + -9k + -2k + 3k + 12 = 0 Reorder the terms: 12 + 3k + 8k + -9k + -2k + 3k = 0 Combine like terms: 3k + 8k = 11k 12 + 11k + -9k + -2k + 3k = 0 Combine like terms: 11k + -9k = 2k 12 + 2k + -2k + 3k = 0 Combine like terms: 2k + -2k = 0 12 + 0 + 3k = 0 12 + 3k = 0 Solving 12 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = 0 + -12 3k = 0 + -12 Combine like terms: 0 + -12 = -12 3k = -12 Divide each side by '3'. k = -4 Simplifying k = -4
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