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Simplifying 5(k + 9) = 3(k + 2) Reorder the terms: 5(9 + k) = 3(k + 2) (9 * 5 + k * 5) = 3(k + 2) (45 + 5k) = 3(k + 2) Reorder the terms: 45 + 5k = 3(2 + k) 45 + 5k = (2 * 3 + k * 3) 45 + 5k = (6 + 3k) Solving 45 + 5k = 6 + 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. 45 + 5k + -3k = 6 + 3k + -3k Combine like terms: 5k + -3k = 2k 45 + 2k = 6 + 3k + -3k Combine like terms: 3k + -3k = 0 45 + 2k = 6 + 0 45 + 2k = 6 Add '-45' to each side of the equation. 45 + -45 + 2k = 6 + -45 Combine like terms: 45 + -45 = 0 0 + 2k = 6 + -45 2k = 6 + -45 Combine like terms: 6 + -45 = -39 2k = -39 Divide each side by '2'. k = -19.5 Simplifying k = -19.5
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