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Simplifying 2k + -1k + 8k + -12 + 13 = 0 Reorder the terms: -12 + 13 + 2k + -1k + 8k = 0 Combine like terms: -12 + 13 = 1 1 + 2k + -1k + 8k = 0 Combine like terms: 2k + -1k = 1k 1 + 1k + 8k = 0 Combine like terms: 1k + 8k = 9k 1 + 9k = 0 Solving 1 + 9k = 0 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 + 9k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9k = 0 + -1 9k = 0 + -1 Combine like terms: 0 + -1 = -1 9k = -1 Divide each side by '9'. k = -0.1111111111 Simplifying k = -0.1111111111
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