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Simplifying -1k + -6 + -7k + 20 = 65 Reorder the terms: -6 + 20 + -1k + -7k = 65 Combine like terms: -6 + 20 = 14 14 + -1k + -7k = 65 Combine like terms: -1k + -7k = -8k 14 + -8k = 65 Solving 14 + -8k = 65 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 = 65 + -14 Combine like terms: 14 + -14 = 0 0 + -8k = 65 + -14 -8k = 65 + -14 Combine like terms: 65 + -14 = 51 -8k = 51 Divide each side by '-8'. k = -6.375 Simplifying k = -6.375
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