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Simplifying 6 + 3n + -1 = 8n + 17 + -3n Reorder the terms: 6 + -1 + 3n = 8n + 17 + -3n Combine like terms: 6 + -1 = 5 5 + 3n = 8n + 17 + -3n Reorder the terms: 5 + 3n = 17 + 8n + -3n Combine like terms: 8n + -3n = 5n 5 + 3n = 17 + 5n Solving 5 + 3n = 17 + 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. 5 + 3n + -5n = 17 + 5n + -5n Combine like terms: 3n + -5n = -2n 5 + -2n = 17 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + -2n = 17 + 0 5 + -2n = 17 Add '-5' to each side of the equation. 5 + -5 + -2n = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 17 + -5 -2n = 17 + -5 Combine like terms: 17 + -5 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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