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Simplifying 20 + -1n = 3n + 8(1 + -1n) 20 + -1n = 3n + (1 * 8 + -1n * 8) 20 + -1n = 3n + (8 + -8n) Reorder the terms: 20 + -1n = 8 + 3n + -8n Combine like terms: 3n + -8n = -5n 20 + -1n = 8 + -5n Solving 20 + -1n = 8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 20 + -1n + 5n = 8 + -5n + 5n Combine like terms: -1n + 5n = 4n 20 + 4n = 8 + -5n + 5n Combine like terms: -5n + 5n = 0 20 + 4n = 8 + 0 20 + 4n = 8 Add '-20' to each side of the equation. 20 + -20 + 4n = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 4n = 8 + -20 4n = 8 + -20 Combine like terms: 8 + -20 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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