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Simplifying 8n + 77 = 5(5 + -1n) Reorder the terms: 77 + 8n = 5(5 + -1n) 77 + 8n = (5 * 5 + -1n * 5) 77 + 8n = (25 + -5n) Solving 77 + 8n = 25 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 77 + 8n + 5n = 25 + -5n + 5n Combine like terms: 8n + 5n = 13n 77 + 13n = 25 + -5n + 5n Combine like terms: -5n + 5n = 0 77 + 13n = 25 + 0 77 + 13n = 25 Add '-77' to each side of the equation. 77 + -77 + 13n = 25 + -77 Combine like terms: 77 + -77 = 0 0 + 13n = 25 + -77 13n = 25 + -77 Combine like terms: 25 + -77 = -52 13n = -52 Divide each side by '13'. n = -4 Simplifying n = -4
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