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Simplifying -27 + -3k = -6(k + -2) Reorder the terms: -27 + -3k = -6(-2 + k) -27 + -3k = (-2 * -6 + k * -6) -27 + -3k = (12 + -6k) Solving -27 + -3k = 12 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -27 + -3k + 6k = 12 + -6k + 6k Combine like terms: -3k + 6k = 3k -27 + 3k = 12 + -6k + 6k Combine like terms: -6k + 6k = 0 -27 + 3k = 12 + 0 -27 + 3k = 12 Add '27' to each side of the equation. -27 + 27 + 3k = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 3k = 12 + 27 3k = 12 + 27 Combine like terms: 12 + 27 = 39 3k = 39 Divide each side by '3'. k = 13 Simplifying k = 13
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