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Simplifying 5(n + 3) + 3(n + 1) = 14 Reorder the terms: 5(3 + n) + 3(n + 1) = 14 (3 * 5 + n * 5) + 3(n + 1) = 14 (15 + 5n) + 3(n + 1) = 14 Reorder the terms: 15 + 5n + 3(1 + n) = 14 15 + 5n + (1 * 3 + n * 3) = 14 15 + 5n + (3 + 3n) = 14 Reorder the terms: 15 + 3 + 5n + 3n = 14 Combine like terms: 15 + 3 = 18 18 + 5n + 3n = 14 Combine like terms: 5n + 3n = 8n 18 + 8n = 14 Solving 18 + 8n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8n = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 8n = 14 + -18 8n = 14 + -18 Combine like terms: 14 + -18 = -4 8n = -4 Divide each side by '8'. n = -0.5 Simplifying n = -0.5
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