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Simplifying 8 + -1n + 9 = -10 + 8n Reorder the terms: 8 + 9 + -1n = -10 + 8n Combine like terms: 8 + 9 = 17 17 + -1n = -10 + 8n Solving 17 + -1n = -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. 17 + -1n + -8n = -10 + 8n + -8n Combine like terms: -1n + -8n = -9n 17 + -9n = -10 + 8n + -8n Combine like terms: 8n + -8n = 0 17 + -9n = -10 + 0 17 + -9n = -10 Add '-17' to each side of the equation. 17 + -17 + -9n = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -9n = -10 + -17 -9n = -10 + -17 Combine like terms: -10 + -17 = -27 -9n = -27 Divide each side by '-9'. n = 3 Simplifying n = 3
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