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Simplifying -2(-6k + -2) + -7 = -38 + 7k Reorder the terms: -2(-2 + -6k) + -7 = -38 + 7k (-2 * -2 + -6k * -2) + -7 = -38 + 7k (4 + 12k) + -7 = -38 + 7k Reorder the terms: 4 + -7 + 12k = -38 + 7k Combine like terms: 4 + -7 = -3 -3 + 12k = -38 + 7k Solving -3 + 12k = -38 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -3 + 12k + -7k = -38 + 7k + -7k Combine like terms: 12k + -7k = 5k -3 + 5k = -38 + 7k + -7k Combine like terms: 7k + -7k = 0 -3 + 5k = -38 + 0 -3 + 5k = -38 Add '3' to each side of the equation. -3 + 3 + 5k = -38 + 3 Combine like terms: -3 + 3 = 0 0 + 5k = -38 + 3 5k = -38 + 3 Combine like terms: -38 + 3 = -35 5k = -35 Divide each side by '5'. k = -7 Simplifying k = -7
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