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Simplifying 15 + (6 + 7k) = 2 + 6k Remove parenthesis around (6 + 7k) 15 + 6 + 7k = 2 + 6k Combine like terms: 15 + 6 = 21 21 + 7k = 2 + 6k Solving 21 + 7k = 2 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 21 + 7k + -6k = 2 + 6k + -6k Combine like terms: 7k + -6k = 1k 21 + 1k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 21 + 1k = 2 + 0 21 + 1k = 2 Add '-21' to each side of the equation. 21 + -21 + 1k = 2 + -21 Combine like terms: 21 + -21 = 0 0 + 1k = 2 + -21 1k = 2 + -21 Combine like terms: 2 + -21 = -19 1k = -19 Divide each side by '1'. k = -19 Simplifying k = -19
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