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Simplifying -7k + -4(k + -4) = 82 Reorder the terms: -7k + -4(-4 + k) = 82 -7k + (-4 * -4 + k * -4) = 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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