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Simplifying 15 = 3(k + 6) Reorder the terms: 15 = 3(6 + k) 15 = (6 * 3 + k * 3) 15 = (18 + 3k) Solving 15 = 18 + 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. 15 + -3k = 18 + 3k + -3k Combine like terms: 3k + -3k = 0 15 + -3k = 18 + 0 15 + -3k = 18 Add '-15' to each side of the equation. 15 + -15 + -3k = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -3k = 18 + -15 -3k = 18 + -15 Combine like terms: 18 + -15 = 3 -3k = 3 Divide each side by '-3'. k = -1 Simplifying k = -1
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