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Simplifying 15 + 7k + 6 + -1k = 6 + k Reorder the terms: 15 + 6 + 7k + -1k = 6 + k Combine like terms: 15 + 6 = 21 21 + 7k + -1k = 6 + k Combine like terms: 7k + -1k = 6k 21 + 6k = 6 + k Solving 21 + 6k = 6 + 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. 21 + 6k + -1k = 6 + k + -1k Combine like terms: 6k + -1k = 5k 21 + 5k = 6 + k + -1k Combine like terms: k + -1k = 0 21 + 5k = 6 + 0 21 + 5k = 6 Add '-21' to each side of the equation. 21 + -21 + 5k = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 5k = 6 + -21 5k = 6 + -21 Combine like terms: 6 + -21 = -15 5k = -15 Divide each side by '5'. k = -3 Simplifying k = -3
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