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Simplifying 8(5 + k) = 7k + -5 (5 * 8 + k * 8) = 7k + -5 (40 + 8k) = 7k + -5 Reorder the terms: 40 + 8k = -5 + 7k Solving 40 + 8k = -5 + 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. 40 + 8k + -7k = -5 + 7k + -7k Combine like terms: 8k + -7k = 1k 40 + 1k = -5 + 7k + -7k Combine like terms: 7k + -7k = 0 40 + 1k = -5 + 0 40 + 1k = -5 Add '-40' to each side of the equation. 40 + -40 + 1k = -5 + -40 Combine like terms: 40 + -40 = 0 0 + 1k = -5 + -40 1k = -5 + -40 Combine like terms: -5 + -40 = -45 1k = -45 Divide each side by '1'. k = -45 Simplifying k = -45
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