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Simplifying -1k + -6 + -7k + 20 = -42 Reorder the terms: -6 + 20 + -1k + -7k = -42 Combine like terms: -6 + 20 = 14 14 + -1k + -7k = -42 Combine like terms: -1k + -7k = -8k 14 + -8k = -42 Solving 14 + -8k = -42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -8k = -42 + -14 Combine like terms: 14 + -14 = 0 0 + -8k = -42 + -14 -8k = -42 + -14 Combine like terms: -42 + -14 = -56 -8k = -56 Divide each side by '-8'. k = 7 Simplifying k = 7
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