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Simplifying 3(k + 3) = 2k + -12 Reorder the terms: 3(3 + k) = 2k + -12 (3 * 3 + k * 3) = 2k + -12 (9 + 3k) = 2k + -12 Reorder the terms: 9 + 3k = -12 + 2k Solving 9 + 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. 9 + 3k + -2k = -12 + 2k + -2k Combine like terms: 3k + -2k = 1k 9 + 1k = -12 + 2k + -2k Combine like terms: 2k + -2k = 0 9 + 1k = -12 + 0 9 + 1k = -12 Add '-9' to each side of the equation. 9 + -9 + 1k = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 1k = -12 + -9 1k = -12 + -9 Combine like terms: -12 + -9 = -21 1k = -21 Divide each side by '1'. k = -21 Simplifying k = -21
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