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Simplifying -15 + 3n = 8(1 + n) + 2 -15 + 3n = (1 * 8 + n * 8) + 2 -15 + 3n = (8 + 8n) + 2 Reorder the terms: -15 + 3n = 8 + 2 + 8n Combine like terms: 8 + 2 = 10 -15 + 3n = 10 + 8n Solving -15 + 3n = 10 + 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 + 3n + -8n = 10 + 8n + -8n Combine like terms: 3n + -8n = -5n -15 + -5n = 10 + 8n + -8n Combine like terms: 8n + -8n = 0 -15 + -5n = 10 + 0 -15 + -5n = 10 Add '15' to each side of the equation. -15 + 15 + -5n = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -5n = 10 + 15 -5n = 10 + 15 Combine like terms: 10 + 15 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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