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Simplifying 60 + -3n = 3n + 6(8n + 1) Reorder the terms: 60 + -3n = 3n + 6(1 + 8n) 60 + -3n = 3n + (1 * 6 + 8n * 6) 60 + -3n = 3n + (6 + 48n) Reorder the terms: 60 + -3n = 6 + 3n + 48n Combine like terms: 3n + 48n = 51n 60 + -3n = 6 + 51n Solving 60 + -3n = 6 + 51n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-51n' to each side of the equation. 60 + -3n + -51n = 6 + 51n + -51n Combine like terms: -3n + -51n = -54n 60 + -54n = 6 + 51n + -51n Combine like terms: 51n + -51n = 0 60 + -54n = 6 + 0 60 + -54n = 6 Add '-60' to each side of the equation. 60 + -60 + -54n = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -54n = 6 + -60 -54n = 6 + -60 Combine like terms: 6 + -60 = -54 -54n = -54 Divide each side by '-54'. n = 1 Simplifying n = 1
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