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Simplifying 9 + 3n + -4 = 8n + 9 + -4n Reorder the terms: 9 + -4 + 3n = 8n + 9 + -4n Combine like terms: 9 + -4 = 5 5 + 3n = 8n + 9 + -4n Reorder the terms: 5 + 3n = 9 + 8n + -4n Combine like terms: 8n + -4n = 4n 5 + 3n = 9 + 4n Solving 5 + 3n = 9 + 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. 5 + 3n + -4n = 9 + 4n + -4n Combine like terms: 3n + -4n = -1n 5 + -1n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + -1n = 9 + 0 5 + -1n = 9 Add '-5' to each side of the equation. 5 + -5 + -1n = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 9 + -5 -1n = 9 + -5 Combine like terms: 9 + -5 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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