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Simplifying 5(n + 3) + 8(n + 3) = 0 Reorder the terms: 5(3 + n) + 8(n + 3) = 0 (3 * 5 + n * 5) + 8(n + 3) = 0 (15 + 5n) + 8(n + 3) = 0 Reorder the terms: 15 + 5n + 8(3 + n) = 0 15 + 5n + (3 * 8 + n * 8) = 0 15 + 5n + (24 + 8n) = 0 Reorder the terms: 15 + 24 + 5n + 8n = 0 Combine like terms: 15 + 24 = 39 39 + 5n + 8n = 0 Combine like terms: 5n + 8n = 13n 39 + 13n = 0 Solving 39 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 13n = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 13n = 0 + -39 13n = 0 + -39 Combine like terms: 0 + -39 = -39 13n = -39 Divide each side by '13'. n = -3 Simplifying n = -3
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