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Simplifying -2(k + -6) = 17 + -1k Reorder the terms: -2(-6 + k) = 17 + -1k (-6 * -2 + k * -2) = 17 + -1k (12 + -2k) = 17 + -1k Solving 12 + -2k = 17 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 12 + -2k + k = 17 + -1k + k Combine like terms: -2k + k = -1k 12 + -1k = 17 + -1k + k Combine like terms: -1k + k = 0 12 + -1k = 17 + 0 12 + -1k = 17 Add '-12' to each side of the equation. 12 + -12 + -1k = 17 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 17 + -12 -1k = 17 + -12 Combine like terms: 17 + -12 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5
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