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Simplifying 5(2k + 4) + -3(3k) = 15 Reorder the terms: 5(4 + 2k) + -3(3k) = 15 (4 * 5 + 2k * 5) + -3(3k) = 15 (20 + 10k) + -3(3k) = 15 Remove parenthesis around (3k) 20 + 10k + -3 * 3k = 15 Multiply -3 * 3 20 + 10k + -9k = 15 Combine like terms: 10k + -9k = 1k 20 + 1k = 15 Solving 20 + 1k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 1k = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 1k = 15 + -20 1k = 15 + -20 Combine like terms: 15 + -20 = -5 1k = -5 Divide each side by '1'. k = -5 Simplifying k = -5
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