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Simplifying 8(6 + -1n) + 65 = 9 + 5n (6 * 8 + -1n * 8) + 65 = 9 + 5n (48 + -8n) + 65 = 9 + 5n Reorder the terms: 48 + 65 + -8n = 9 + 5n Combine like terms: 48 + 65 = 113 113 + -8n = 9 + 5n Solving 113 + -8n = 9 + 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. 113 + -8n + -5n = 9 + 5n + -5n Combine like terms: -8n + -5n = -13n 113 + -13n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 113 + -13n = 9 + 0 113 + -13n = 9 Add '-113' to each side of the equation. 113 + -113 + -13n = 9 + -113 Combine like terms: 113 + -113 = 0 0 + -13n = 9 + -113 -13n = 9 + -113 Combine like terms: 9 + -113 = -104 -13n = -104 Divide each side by '-13'. n = 8 Simplifying n = 8
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