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Simplifying -5 + 7(k + 4) + k = 15 Reorder the terms: -5 + 7(4 + k) + k = 15 -5 + (4 * 7 + k * 7) + k = 15 -5 + (28 + 7k) + k = 15 Combine like terms: -5 + 28 = 23 23 + 7k + k = 15 Combine like terms: 7k + k = 8k 23 + 8k = 15 Solving 23 + 8k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 8k = 15 + -23 Combine like terms: 23 + -23 = 0 0 + 8k = 15 + -23 8k = 15 + -23 Combine like terms: 15 + -23 = -8 8k = -8 Divide each side by '8'. k = -1 Simplifying k = -1
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