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Simplifying 7k + -2(-2k + -8) = 82 Reorder the terms: 7k + -2(-8 + -2k) = 82 7k + (-8 * -2 + -2k * -2) = 82 7k + (16 + 4k) = 82 Reorder the terms: 16 + 7k + 4k = 82 Combine like terms: 7k + 4k = 11k 16 + 11k = 82 Solving 16 + 11k = 82 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 11k = 82 + -16 Combine like terms: 16 + -16 = 0 0 + 11k = 82 + -16 11k = 82 + -16 Combine like terms: 82 + -16 = 66 11k = 66 Divide each side by '11'. k = 6 Simplifying k = 6
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