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Simplifying 2(6k + -10) = -38 Reorder the terms: 2(-10 + 6k) = -38 (-10 * 2 + 6k * 2) = -38 (-20 + 12k) = -38 Solving -20 + 12k = -38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 12k = -38 + 20 Combine like terms: -20 + 20 = 0 0 + 12k = -38 + 20 12k = -38 + 20 Combine like terms: -38 + 20 = -18 12k = -18 Divide each side by '12'. k = -1.5 Simplifying k = -1.5
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