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Simplifying 18 + -3k = -3(3k + 6) Reorder the terms: 18 + -3k = -3(6 + 3k) 18 + -3k = (6 * -3 + 3k * -3) 18 + -3k = (-18 + -9k) Solving 18 + -3k = -18 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 18 + -3k + 9k = -18 + -9k + 9k Combine like terms: -3k + 9k = 6k 18 + 6k = -18 + -9k + 9k Combine like terms: -9k + 9k = 0 18 + 6k = -18 + 0 18 + 6k = -18 Add '-18' to each side of the equation. 18 + -18 + 6k = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 6k = -18 + -18 6k = -18 + -18 Combine like terms: -18 + -18 = -36 6k = -36 Divide each side by '6'. k = -6 Simplifying k = -6
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