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Simplifying -1(k + -8) + 7k + -5k = 0 Reorder the terms: -1(-8 + k) + 7k + -5k = 0 (-8 * -1 + k * -1) + 7k + -5k = 0 (8 + -1k) + 7k + -5k = 0 Combine like terms: -1k + 7k = 6k 8 + 6k + -5k = 0 Combine like terms: 6k + -5k = 1k 8 + 1k = 0 Solving 8 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1k = 0 + -8 1k = 0 + -8 Combine like terms: 0 + -8 = -8 1k = -8 Divide each side by '1'. k = -8 Simplifying k = -8
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