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Simplifying -1k + -2n + -5 + 8n = 65 Reorder the terms: -5 + -1k + -2n + 8n = 65 Combine like terms: -2n + 8n = 6n -5 + -1k + 6n = 65 Solving -5 + -1k + 6n = 65 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1k + 5 + 6n = 65 + 5 Reorder the terms: -5 + 5 + -1k + 6n = 65 + 5 Combine like terms: -5 + 5 = 0 0 + -1k + 6n = 65 + 5 -1k + 6n = 65 + 5 Combine like terms: 65 + 5 = 70 -1k + 6n = 70 Add '-6n' to each side of the equation. -1k + 6n + -6n = 70 + -6n Combine like terms: 6n + -6n = 0 -1k + 0 = 70 + -6n -1k = 70 + -6n Divide each side by '-1'. k = -70 + 6n Simplifying k = -70 + 6n
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