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Simplifying 2(k + 9) = 3(k + 4) Reorder the terms: 2(9 + k) = 3(k + 4) (9 * 2 + k * 2) = 3(k + 4) (18 + 2k) = 3(k + 4) Reorder the terms: 18 + 2k = 3(4 + k) 18 + 2k = (4 * 3 + k * 3) 18 + 2k = (12 + 3k) Solving 18 + 2k = 12 + 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 + 2k + -3k = 12 + 3k + -3k Combine like terms: 2k + -3k = -1k 18 + -1k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 18 + -1k = 12 + 0 18 + -1k = 12 Add '-18' to each side of the equation. 18 + -18 + -1k = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -1k = 12 + -18 -1k = 12 + -18 Combine like terms: 12 + -18 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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