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Simplifying 15 + 2k = -4(3k + 5) Reorder the terms: 15 + 2k = -4(5 + 3k) 15 + 2k = (5 * -4 + 3k * -4) 15 + 2k = (-20 + -12k) Solving 15 + 2k = -20 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 15 + 2k + 12k = -20 + -12k + 12k Combine like terms: 2k + 12k = 14k 15 + 14k = -20 + -12k + 12k Combine like terms: -12k + 12k = 0 15 + 14k = -20 + 0 15 + 14k = -20 Add '-15' to each side of the equation. 15 + -15 + 14k = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 14k = -20 + -15 14k = -20 + -15 Combine like terms: -20 + -15 = -35 14k = -35 Divide each side by '14'. k = -2.5 Simplifying k = -2.5
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