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Simplifying 2(6k + -2) = -38 Reorder the terms: 2(-2 + 6k) = -38 (-2 * 2 + 6k * 2) = -38 (-4 + 12k) = -38 Solving -4 + 12k = -38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12k = -38 + 4 Combine like terms: -4 + 4 = 0 0 + 12k = -38 + 4 12k = -38 + 4 Combine like terms: -38 + 4 = -34 12k = -34 Divide each side by '12'. k = -2.833333333 Simplifying k = -2.833333333
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