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Simplifying -2(k + -6) + -1(-3k + -5) = 1 Reorder the terms: -2(-6 + k) + -1(-3k + -5) = 1 (-6 * -2 + k * -2) + -1(-3k + -5) = 1 (12 + -2k) + -1(-3k + -5) = 1 Reorder the terms: 12 + -2k + -1(-5 + -3k) = 1 12 + -2k + (-5 * -1 + -3k * -1) = 1 12 + -2k + (5 + 3k) = 1 Reorder the terms: 12 + 5 + -2k + 3k = 1 Combine like terms: 12 + 5 = 17 17 + -2k + 3k = 1 Combine like terms: -2k + 3k = 1k 17 + 1k = 1 Solving 17 + 1k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1k = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 1k = 1 + -17 1k = 1 + -17 Combine like terms: 1 + -17 = -16 1k = -16 Divide each side by '1'. k = -16 Simplifying k = -16
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