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Simplifying 7 + 4n + -3 = 8n + 13 + -5n Reorder the terms: 7 + -3 + 4n = 8n + 13 + -5n Combine like terms: 7 + -3 = 4 4 + 4n = 8n + 13 + -5n Reorder the terms: 4 + 4n = 13 + 8n + -5n Combine like terms: 8n + -5n = 3n 4 + 4n = 13 + 3n Solving 4 + 4n = 13 + 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. 4 + 4n + -3n = 13 + 3n + -3n Combine like terms: 4n + -3n = 1n 4 + 1n = 13 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 1n = 13 + 0 4 + 1n = 13 Add '-4' to each side of the equation. 4 + -4 + 1n = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 13 + -4 1n = 13 + -4 Combine like terms: 13 + -4 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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