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Simplifying 2k + -7(-3 + -1k) = 57 2k + (-3 * -7 + -1k * -7) = 57 2k + (21 + 7k) = 57 Reorder the terms: 21 + 2k + 7k = 57 Combine like terms: 2k + 7k = 9k 21 + 9k = 57 Solving 21 + 9k = 57 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 9k = 57 + -21 Combine like terms: 21 + -21 = 0 0 + 9k = 57 + -21 9k = 57 + -21 Combine like terms: 57 + -21 = 36 9k = 36 Divide each side by '9'. k = 4 Simplifying k = 4
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