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Simplifying 5(5 + -1n) = 3n + 9 (5 * 5 + -1n * 5) = 3n + 9 (25 + -5n) = 3n + 9 Reorder the terms: 25 + -5n = 9 + 3n Solving 25 + -5n = 9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 25 + -5n + -3n = 9 + 3n + -3n Combine like terms: -5n + -3n = -8n 25 + -8n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 25 + -8n = 9 + 0 25 + -8n = 9 Add '-25' to each side of the equation. 25 + -25 + -8n = 9 + -25 Combine like terms: 25 + -25 = 0 0 + -8n = 9 + -25 -8n = 9 + -25 Combine like terms: 9 + -25 = -16 -8n = -16 Divide each side by '-8'. n = 2 Simplifying n = 2
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