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Simplifying 2[6k + -1] = -38 Reorder the terms: 2[-1 + 6k] = -38 [-1 * 2 + 6k * 2] = -38 [-2 + 12k] = -38 Solving -2 + 12k = -38 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 + 12k = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 12k = -38 + 2 12k = -38 + 2 Combine like terms: -38 + 2 = -36 12k = -36 Divide each side by '12'. k = -3 Simplifying k = -3
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