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Simplifying -5(-1 + -2k) = 7k + -29 (-1 * -5 + -2k * -5) = 7k + -29 (5 + 10k) = 7k + -29 Reorder the terms: 5 + 10k = -29 + 7k Solving 5 + 10k = -29 + 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. 5 + 10k + -7k = -29 + 7k + -7k Combine like terms: 10k + -7k = 3k 5 + 3k = -29 + 7k + -7k Combine like terms: 7k + -7k = 0 5 + 3k = -29 + 0 5 + 3k = -29 Add '-5' to each side of the equation. 5 + -5 + 3k = -29 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = -29 + -5 3k = -29 + -5 Combine like terms: -29 + -5 = -34 3k = -34 Divide each side by '3'. k = -11.33333333 Simplifying k = -11.33333333
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