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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 = -40 12k = -40 Divide each side by '12'. k = -3.333333333 Simplifying k = -3.333333333
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