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Simplifying -2(k + -6) + -1(6k + -2) = -9k Reorder the terms: -2(-6 + k) + -1(6k + -2) = -9k (-6 * -2 + k * -2) + -1(6k + -2) = -9k (12 + -2k) + -1(6k + -2) = -9k Reorder the terms: 12 + -2k + -1(-2 + 6k) = -9k 12 + -2k + (-2 * -1 + 6k * -1) = -9k 12 + -2k + (2 + -6k) = -9k Reorder the terms: 12 + 2 + -2k + -6k = -9k Combine like terms: 12 + 2 = 14 14 + -2k + -6k = -9k Combine like terms: -2k + -6k = -8k 14 + -8k = -9k Solving 14 + -8k = -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 14 + -8k + 9k = -9k + 9k Combine like terms: -8k + 9k = 1k 14 + 1k = -9k + 9k Combine like terms: -9k + 9k = 0 14 + 1k = 0 Add '-14' to each side of the equation. 14 + -14 + 1k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1k = 0 + -14 1k = 0 + -14 Combine like terms: 0 + -14 = -14 1k = -14 Divide each side by '1'. k = -14 Simplifying k = -14
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