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