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Simplifying 4n + 3(n + 5) = 8(1 + n) Reorder the terms: 4n + 3(5 + n) = 8(1 + n) 4n + (5 * 3 + n * 3) = 8(1 + n) 4n + (15 + 3n) = 8(1 + n) Reorder the terms: 15 + 4n + 3n = 8(1 + n) Combine like terms: 4n + 3n = 7n 15 + 7n = 8(1 + n) 15 + 7n = (1 * 8 + n * 8) 15 + 7n = (8 + 8n) Solving 15 + 7n = 8 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 15 + 7n + -8n = 8 + 8n + -8n Combine like terms: 7n + -8n = -1n 15 + -1n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 15 + -1n = 8 + 0 15 + -1n = 8 Add '-15' to each side of the equation. 15 + -15 + -1n = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 8 + -15 -1n = 8 + -15 Combine like terms: 8 + -15 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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