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Simplifying 2(k + 6) = 3k + 9 Reorder the terms: 2(6 + k) = 3k + 9 (6 * 2 + k * 2) = 3k + 9 (12 + 2k) = 3k + 9 Reorder the terms: 12 + 2k = 9 + 3k Solving 12 + 2k = 9 + 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. 12 + 2k + -3k = 9 + 3k + -3k Combine like terms: 2k + -3k = -1k 12 + -1k = 9 + 3k + -3k Combine like terms: 3k + -3k = 0 12 + -1k = 9 + 0 12 + -1k = 9 Add '-12' to each side of the equation. 12 + -12 + -1k = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 9 + -12 -1k = 9 + -12 Combine like terms: 9 + -12 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3
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