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Simplifying 18 + 8n = 5(7 + n) + 1 18 + 8n = (7 * 5 + n * 5) + 1 18 + 8n = (35 + 5n) + 1 Reorder the terms: 18 + 8n = 35 + 1 + 5n Combine like terms: 35 + 1 = 36 18 + 8n = 36 + 5n Solving 18 + 8n = 36 + 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. 18 + 8n + -5n = 36 + 5n + -5n Combine like terms: 8n + -5n = 3n 18 + 3n = 36 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + 3n = 36 + 0 18 + 3n = 36 Add '-18' to each side of the equation. 18 + -18 + 3n = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 3n = 36 + -18 3n = 36 + -18 Combine like terms: 36 + -18 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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