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Simplifying 3(k + 5) + 3(2k) = 24 Reorder the terms: 3(5 + k) + 3(2k) = 24 (5 * 3 + k * 3) + 3(2k) = 24 (15 + 3k) + 3(2k) = 24 Remove parenthesis around (2k) 15 + 3k + 3 * 2k = 24 Multiply 3 * 2 15 + 3k + 6k = 24 Combine like terms: 3k + 6k = 9k 15 + 9k = 24 Solving 15 + 9k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 9k = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 9k = 24 + -15 9k = 24 + -15 Combine like terms: 24 + -15 = 9 9k = 9 Divide each side by '9'. k = 1 Simplifying k = 1
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