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Simplifying 15 = 3(k + 4) + -9k Reorder the terms: 15 = 3(4 + k) + -9k 15 = (4 * 3 + k * 3) + -9k 15 = (12 + 3k) + -9k Combine like terms: 3k + -9k = -6k 15 = 12 + -6k Solving 15 = 12 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 15 + 6k = 12 + -6k + 6k Combine like terms: -6k + 6k = 0 15 + 6k = 12 + 0 15 + 6k = 12 Add '-15' to each side of the equation. 15 + -15 + 6k = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 6k = 12 + -15 6k = 12 + -15 Combine like terms: 12 + -15 = -3 6k = -3 Divide each side by '6'. k = -0.5 Simplifying k = -0.5
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