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Simplifying -1(6k + -1) = -4 + -7k Reorder the terms: -1(-1 + 6k) = -4 + -7k (-1 * -1 + 6k * -1) = -4 + -7k (1 + -6k) = -4 + -7k Solving 1 + -6k = -4 + -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. 1 + -6k + 7k = -4 + -7k + 7k Combine like terms: -6k + 7k = 1k 1 + 1k = -4 + -7k + 7k Combine like terms: -7k + 7k = 0 1 + 1k = -4 + 0 1 + 1k = -4 Add '-1' to each side of the equation. 1 + -1 + 1k = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = -4 + -1 1k = -4 + -1 Combine like terms: -4 + -1 = -5 1k = -5 Divide each side by '1'. k = -5 Simplifying k = -5
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