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Simplifying 3(k + 13) + -14 = -2 Reorder the terms: 3(13 + k) + -14 = -2 (13 * 3 + k * 3) + -14 = -2 (39 + 3k) + -14 = -2 Reorder the terms: 39 + -14 + 3k = -2 Combine like terms: 39 + -14 = 25 25 + 3k = -2 Solving 25 + 3k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3k = -2 + -25 Combine like terms: 25 + -25 = 0 0 + 3k = -2 + -25 3k = -2 + -25 Combine like terms: -2 + -25 = -27 3k = -27 Divide each side by '3'. k = -9 Simplifying k = -9
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