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Simplifying 8k + 15 = k + 7 + -6 Reorder the terms: 15 + 8k = k + 7 + -6 Reorder the terms: 15 + 8k = 7 + -6 + k Combine like terms: 7 + -6 = 1 15 + 8k = 1 + k Solving 15 + 8k = 1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 15 + 8k + -1k = 1 + k + -1k Combine like terms: 8k + -1k = 7k 15 + 7k = 1 + k + -1k Combine like terms: k + -1k = 0 15 + 7k = 1 + 0 15 + 7k = 1 Add '-15' to each side of the equation. 15 + -15 + 7k = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7k = 1 + -15 7k = 1 + -15 Combine like terms: 1 + -15 = -14 7k = -14 Divide each side by '7'. k = -2 Simplifying k = -2
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