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Simplifying 6(k + 1) + -1(-2k + -5) = 7k Reorder the terms: 6(1 + k) + -1(-2k + -5) = 7k (1 * 6 + k * 6) + -1(-2k + -5) = 7k (6 + 6k) + -1(-2k + -5) = 7k Reorder the terms: 6 + 6k + -1(-5 + -2k) = 7k 6 + 6k + (-5 * -1 + -2k * -1) = 7k 6 + 6k + (5 + 2k) = 7k Reorder the terms: 6 + 5 + 6k + 2k = 7k Combine like terms: 6 + 5 = 11 11 + 6k + 2k = 7k Combine like terms: 6k + 2k = 8k 11 + 8k = 7k Solving 11 + 8k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 11 + 8k + -7k = 7k + -7k Combine like terms: 8k + -7k = 1k 11 + 1k = 7k + -7k Combine like terms: 7k + -7k = 0 11 + 1k = 0 Add '-11' to each side of the equation. 11 + -11 + 1k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1k = 0 + -11 1k = 0 + -11 Combine like terms: 0 + -11 = -11 1k = -11 Divide each side by '1'. k = -11 Simplifying k = -11
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