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Simplifying -3(6 + -3k) = 3k + 30 (6 * -3 + -3k * -3) = 3k + 30 (-18 + 9k) = 3k + 30 Reorder the terms: -18 + 9k = 30 + 3k Solving -18 + 9k = 30 + 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 + 9k + -3k = 30 + 3k + -3k Combine like terms: 9k + -3k = 6k -18 + 6k = 30 + 3k + -3k Combine like terms: 3k + -3k = 0 -18 + 6k = 30 + 0 -18 + 6k = 30 Add '18' to each side of the equation. -18 + 18 + 6k = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 6k = 30 + 18 6k = 30 + 18 Combine like terms: 30 + 18 = 48 6k = 48 Divide each side by '6'. k = 8 Simplifying k = 8
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