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Simplifying 2(k + 4) + -6 = -12 Reorder the terms: 2(4 + k) + -6 = -12 (4 * 2 + k * 2) + -6 = -12 (8 + 2k) + -6 = -12 Reorder the terms: 8 + -6 + 2k = -12 Combine like terms: 8 + -6 = 2 2 + 2k = -12 Solving 2 + 2k = -12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2k = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = -12 + -2 2k = -12 + -2 Combine like terms: -12 + -2 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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