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Simplifying 3(k + 6) + -14 = -17 Reorder the terms: 3(6 + k) + -14 = -17 (6 * 3 + k * 3) + -14 = -17 (18 + 3k) + -14 = -17 Reorder the terms: 18 + -14 + 3k = -17 Combine like terms: 18 + -14 = 4 4 + 3k = -17 Solving 4 + 3k = -17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3k = -17 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = -17 + -4 3k = -17 + -4 Combine like terms: -17 + -4 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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