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Simplifying 3(n + 5) + -5 = 13 + 8n Reorder the terms: 3(5 + n) + -5 = 13 + 8n (5 * 3 + n * 3) + -5 = 13 + 8n (15 + 3n) + -5 = 13 + 8n Reorder the terms: 15 + -5 + 3n = 13 + 8n Combine like terms: 15 + -5 = 10 10 + 3n = 13 + 8n Solving 10 + 3n = 13 + 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. 10 + 3n + -8n = 13 + 8n + -8n Combine like terms: 3n + -8n = -5n 10 + -5n = 13 + 8n + -8n Combine like terms: 8n + -8n = 0 10 + -5n = 13 + 0 10 + -5n = 13 Add '-10' to each side of the equation. 10 + -10 + -5n = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -5n = 13 + -10 -5n = 13 + -10 Combine like terms: 13 + -10 = 3 -5n = 3 Divide each side by '-5'. n = -0.6 Simplifying n = -0.6
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