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Simplifying 15 + -1(6 + -7k) = 2 + 6k 15 + (6 * -1 + -7k * -1) = 2 + 6k 15 + (-6 + 7k) = 2 + 6k Combine like terms: 15 + -6 = 9 9 + 7k = 2 + 6k Solving 9 + 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. 9 + 7k + -6k = 2 + 6k + -6k Combine like terms: 7k + -6k = 1k 9 + 1k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 9 + 1k = 2 + 0 9 + 1k = 2 Add '-9' to each side of the equation. 9 + -9 + 1k = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 1k = 2 + -9 1k = 2 + -9 Combine like terms: 2 + -9 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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