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Simplifying 7(k + 3) + -1(-2k + -5) = 8k Reorder the terms: 7(3 + k) + -1(-2k + -5) = 8k (3 * 7 + k * 7) + -1(-2k + -5) = 8k (21 + 7k) + -1(-2k + -5) = 8k Reorder the terms: 21 + 7k + -1(-5 + -2k) = 8k 21 + 7k + (-5 * -1 + -2k * -1) = 8k 21 + 7k + (5 + 2k) = 8k Reorder the terms: 21 + 5 + 7k + 2k = 8k Combine like terms: 21 + 5 = 26 26 + 7k + 2k = 8k Combine like terms: 7k + 2k = 9k 26 + 9k = 8k Solving 26 + 9k = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 26 + 9k + -8k = 8k + -8k Combine like terms: 9k + -8k = 1k 26 + 1k = 8k + -8k Combine like terms: 8k + -8k = 0 26 + 1k = 0 Add '-26' to each side of the equation. 26 + -26 + 1k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 1k = 0 + -26 1k = 0 + -26 Combine like terms: 0 + -26 = -26 1k = -26 Divide each side by '1'. k = -26 Simplifying k = -26
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