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Simplifying -1(1 + 3k) = -2(k + -6) (1 * -1 + 3k * -1) = -2(k + -6) (-1 + -3k) = -2(k + -6) Reorder the terms: -1 + -3k = -2(-6 + k) -1 + -3k = (-6 * -2 + k * -2) -1 + -3k = (12 + -2k) Solving -1 + -3k = 12 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -1 + -3k + 2k = 12 + -2k + 2k Combine like terms: -3k + 2k = -1k -1 + -1k = 12 + -2k + 2k Combine like terms: -2k + 2k = 0 -1 + -1k = 12 + 0 -1 + -1k = 12 Add '1' to each side of the equation. -1 + 1 + -1k = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -1k = 12 + 1 -1k = 12 + 1 Combine like terms: 12 + 1 = 13 -1k = 13 Divide each side by '-1'. k = -13 Simplifying k = -13
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