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Simplifying 15 + 8n = -8 + 3(n + 1) Reorder the terms: 15 + 8n = -8 + 3(1 + n) 15 + 8n = -8 + (1 * 3 + n * 3) 15 + 8n = -8 + (3 + 3n) Combine like terms: -8 + 3 = -5 15 + 8n = -5 + 3n Solving 15 + 8n = -5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 15 + 8n + -3n = -5 + 3n + -3n Combine like terms: 8n + -3n = 5n 15 + 5n = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 15 + 5n = -5 + 0 15 + 5n = -5 Add '-15' to each side of the equation. 15 + -15 + 5n = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 5n = -5 + -15 5n = -5 + -15 Combine like terms: -5 + -15 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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