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Simplifying 4 + 17n + -3 = 9n + 85 + -47 Reorder the terms: 4 + -3 + 17n = 9n + 85 + -47 Combine like terms: 4 + -3 = 1 1 + 17n = 9n + 85 + -47 Reorder the terms: 1 + 17n = 85 + -47 + 9n Combine like terms: 85 + -47 = 38 1 + 17n = 38 + 9n Solving 1 + 17n = 38 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 1 + 17n + -9n = 38 + 9n + -9n Combine like terms: 17n + -9n = 8n 1 + 8n = 38 + 9n + -9n Combine like terms: 9n + -9n = 0 1 + 8n = 38 + 0 1 + 8n = 38 Add '-1' to each side of the equation. 1 + -1 + 8n = 38 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = 38 + -1 8n = 38 + -1 Combine like terms: 38 + -1 = 37 8n = 37 Divide each side by '8'. n = 4.625 Simplifying n = 4.625
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