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Simplifying -15 + -5n = 3n + 41 Reorder the terms: -15 + -5n = 41 + 3n Solving -15 + -5n = 41 + 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 + -5n + -3n = 41 + 3n + -3n Combine like terms: -5n + -3n = -8n -15 + -8n = 41 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + -8n = 41 + 0 -15 + -8n = 41 Add '15' to each side of the equation. -15 + 15 + -8n = 41 + 15 Combine like terms: -15 + 15 = 0 0 + -8n = 41 + 15 -8n = 41 + 15 Combine like terms: 41 + 15 = 56 -8n = 56 Divide each side by '-8'. n = -7 Simplifying n = -7
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