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Simplifying -11(-5k + -11) + 5(-11k + 1) = -6k + -1k Reorder the terms: -11(-11 + -5k) + 5(-11k + 1) = -6k + -1k (-11 * -11 + -5k * -11) + 5(-11k + 1) = -6k + -1k (121 + 55k) + 5(-11k + 1) = -6k + -1k Reorder the terms: 121 + 55k + 5(1 + -11k) = -6k + -1k 121 + 55k + (1 * 5 + -11k * 5) = -6k + -1k 121 + 55k + (5 + -55k) = -6k + -1k Reorder the terms: 121 + 5 + 55k + -55k = -6k + -1k Combine like terms: 121 + 5 = 126 126 + 55k + -55k = -6k + -1k Combine like terms: 55k + -55k = 0 126 + 0 = -6k + -1k 126 = -6k + -1k Combine like terms: -6k + -1k = -7k 126 = -7k Solving 126 = -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. 126 + 7k = -7k + 7k Combine like terms: -7k + 7k = 0 126 + 7k = 0 Add '-126' to each side of the equation. 126 + -126 + 7k = 0 + -126 Combine like terms: 126 + -126 = 0 0 + 7k = 0 + -126 7k = 0 + -126 Combine like terms: 0 + -126 = -126 7k = -126 Divide each side by '7'. k = -18 Simplifying k = -18
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