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Simplifying -4n + n + -9 = 5n + 9 Reorder the terms: -9 + -4n + n = 5n + 9 Combine like terms: -4n + n = -3n -9 + -3n = 5n + 9 Reorder the terms: -9 + -3n = 9 + 5n Solving -9 + -3n = 9 + 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. -9 + -3n + -5n = 9 + 5n + -5n Combine like terms: -3n + -5n = -8n -9 + -8n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 -9 + -8n = 9 + 0 -9 + -8n = 9 Add '9' to each side of the equation. -9 + 9 + -8n = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -8n = 9 + 9 -8n = 9 + 9 Combine like terms: 9 + 9 = 18 -8n = 18 Divide each side by '-8'. n = -2.25 Simplifying n = -2.25
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