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Simplifying -6k + 16k + 4k + -3k + -12k + 1 = -13 Reorder the terms: 1 + -6k + 16k + 4k + -3k + -12k = -13 Combine like terms: -6k + 16k = 10k 1 + 10k + 4k + -3k + -12k = -13 Combine like terms: 10k + 4k = 14k 1 + 14k + -3k + -12k = -13 Combine like terms: 14k + -3k = 11k 1 + 11k + -12k = -13 Combine like terms: 11k + -12k = -1k 1 + -1k = -13 Solving 1 + -1k = -13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = -13 + -1 -1k = -13 + -1 Combine like terms: -13 + -1 = -14 -1k = -14 Divide each side by '-1'. k = 14 Simplifying k = 14
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