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Simplifying 15 + 8n = 4n + -6 + 1 Reorder the terms: 15 + 8n = -6 + 1 + 4n Combine like terms: -6 + 1 = -5 15 + 8n = -5 + 4n Solving 15 + 8n = -5 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 15 + 8n + -4n = -5 + 4n + -4n Combine like terms: 8n + -4n = 4n 15 + 4n = -5 + 4n + -4n Combine like terms: 4n + -4n = 0 15 + 4n = -5 + 0 15 + 4n = -5 Add '-15' to each side of the equation. 15 + -15 + 4n = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 4n = -5 + -15 4n = -5 + -15 Combine like terms: -5 + -15 = -20 4n = -20 Divide each side by '4'. n = -5 Simplifying n = -5
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