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Simplifying -8(1 + -1k) = -1 + 7k (1 * -8 + -1k * -8) = -1 + 7k (-8 + 8k) = -1 + 7k Solving -8 + 8k = -1 + 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. -8 + 8k + -7k = -1 + 7k + -7k Combine like terms: 8k + -7k = 1k -8 + 1k = -1 + 7k + -7k Combine like terms: 7k + -7k = 0 -8 + 1k = -1 + 0 -8 + 1k = -1 Add '8' to each side of the equation. -8 + 8 + 1k = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 1k = -1 + 8 1k = -1 + 8 Combine like terms: -1 + 8 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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