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