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Simplifying 7(8 + 7k) = 8k + 15 (8 * 7 + 7k * 7) = 8k + 15 (56 + 49k) = 8k + 15 Reorder the terms: 56 + 49k = 15 + 8k Solving 56 + 49k = 15 + 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. 56 + 49k + -8k = 15 + 8k + -8k Combine like terms: 49k + -8k = 41k 56 + 41k = 15 + 8k + -8k Combine like terms: 8k + -8k = 0 56 + 41k = 15 + 0 56 + 41k = 15 Add '-56' to each side of the equation. 56 + -56 + 41k = 15 + -56 Combine like terms: 56 + -56 = 0 0 + 41k = 15 + -56 41k = 15 + -56 Combine like terms: 15 + -56 = -41 41k = -41 Divide each side by '41'. k = -1 Simplifying k = -1
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