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Simplifying 4 + 2(k + 4) = 0 Reorder the terms: 4 + 2(4 + k) = 0 4 + (4 * 2 + k * 2) = 0 4 + (8 + 2k) = 0 Combine like terms: 4 + 8 = 12 12 + 2k = 0 Solving 12 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = 0 + -12 2k = 0 + -12 Combine like terms: 0 + -12 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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