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Simplifying -6(k + -3) = -27 + 3k Reorder the terms: -6(-3 + k) = -27 + 3k (-3 * -6 + k * -6) = -27 + 3k (18 + -6k) = -27 + 3k Solving 18 + -6k = -27 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 18 + -6k + -3k = -27 + 3k + -3k Combine like terms: -6k + -3k = -9k 18 + -9k = -27 + 3k + -3k Combine like terms: 3k + -3k = 0 18 + -9k = -27 + 0 18 + -9k = -27 Add '-18' to each side of the equation. 18 + -18 + -9k = -27 + -18 Combine like terms: 18 + -18 = 0 0 + -9k = -27 + -18 -9k = -27 + -18 Combine like terms: -27 + -18 = -45 -9k = -45 Divide each side by '-9'. k = 5 Simplifying k = 5
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