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Simplifying 14 = -2(k + 8) Reorder the terms: 14 = -2(8 + k) 14 = (8 * -2 + k * -2) 14 = (-16 + -2k) Solving 14 = -16 + -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. 14 + 2k = -16 + -2k + 2k Combine like terms: -2k + 2k = 0 14 + 2k = -16 + 0 14 + 2k = -16 Add '-14' to each side of the equation. 14 + -14 + 2k = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 2k = -16 + -14 2k = -16 + -14 Combine like terms: -16 + -14 = -30 2k = -30 Divide each side by '2'. k = -15 Simplifying k = -15
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