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Simplifying 2(k + 3) + -4 = -2 Reorder the terms: 2(3 + k) + -4 = -2 (3 * 2 + k * 2) + -4 = -2 (6 + 2k) + -4 = -2 Reorder the terms: 6 + -4 + 2k = -2 Combine like terms: 6 + -4 = 2 2 + 2k = -2 Solving 2 + 2k = -2 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 = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = -2 + -2 2k = -2 + -2 Combine like terms: -2 + -2 = -4 2k = -4 Divide each side by '2'. k = -2 Simplifying k = -2
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